Time-based 32-bit overflow in Java? Or SLES11?

Question

This is Tomcat 6.0.18, Java 1.7.0_03 (32-bit), and SLES11 SP2 (64-bit). As for kernel information:

$ uname -a
Linux server-1 3.0.13-0.27-default #1 SMP Wed Feb 15 13:33:49 UTC 2012 (d73692b) x86_64 x86_64 x86_64 GNU/Linux

We were doing a load and longevity test on three servers. On all three separate machines we had Tomcat exit within one second of 2^32 milliseconds (49+ days) of when each Tomcat started up. On each machine two threads produced stack traces before the JVM exits (Tomcat itself calls System.exit(1) when it gets the SocketTimeoutException which is why the JVM exits).

One thread is the one that (by default) listens on port 8005 for the shutdown command (verified that by looking at Tomcat source):

Jun 22, 2012 9:10:15 AM org.apache.catalina.core.StandardServer await
SEVERE: StandardServer.await: accept: 
java.net.SocketTimeoutException: Accept timed out
      at java.net.PlainSocketImpl.socketAccept(Native Method)
      at java.net.AbstractPlainSocketImpl.accept(Unknown Source)
      at java.net.ServerSocket.implAccept(Unknown Source)
      at java.net.ServerSocket.accept(Unknown Source)
      at org.apache.catalina.core.StandardServer.await(StandardServer.java:389)
      at org.apache.catalina.startup.Catalina.await(Catalina.java:642)
      at org.apache.catalina.startup.Catalina.start(Catalina.java:602)
      at sun.reflect.NativeMethodAccessorImpl.invoke0(Native Method)
      at sun.reflect.NativeMethodAccessorImpl.invoke(Unknown Source)
      at sun.reflect.DelegatingMethodAccessorImpl.invoke(Unknown Source)
      at java.lang.reflect.Method.invoke(Unknown Source)
      at org.apache.catalina.startup.Bootstrap.start(Bootstrap.java:288)
      at org.apache.catalina.startup.Bootstrap.main(Bootstrap.java:413)

The other thread is (we believe, though we didn't check Tomcat source to verify) the one that handles incoming port 8080 connections:

Jun 22, 2012 9:10:15 AM org.apache.jk.common.ChannelSocket acceptConnections
WARNING: Exception executing accept
java.net.SocketTimeoutException: Accept timed out
      at java.net.PlainSocketImpl.socketAccept(Native Method)
      at java.net.AbstractPlainSocketImpl.accept(Unknown Source)
      at java.net.ServerSocket.implAccept(Unknown Source)
      at java.net.ServerSocket.accept(Unknown Source)
      at org.apache.jk.common.ChannelSocket.accept(ChannelSocket.java:307)
      at org.apache.jk.common.ChannelSocket.acceptConnections(ChannelSocket.java:661)
      at org.apache.jk.common.ChannelSocket$SocketAcceptor.runIt(ChannelSocket.java:872)
      at org.apache.tomcat.util.threads.ThreadPool$ControlRunnable.run(ThreadPool.java:690)
      at java.lang.Thread.run(Unknown Source)

Tomcat isn't doing anything wild. In the first case it's just a while (true) loop that gets a Socket by calling ServerSocket.accept() and the accept() call bombs out.

Any ideas why this is happening and what I could try to look at/for to figure out how to prevent it in the future?

Note that while Tomcat was running for 2^32 milliseconds, the system had already been up when Tomcat was started. Of course that doesn't rule out some process variable that was created when Tomcat started being involved.