Is there anything broken or cumbersome about your current storage scheme? The transition cost of moving your files into a database will be nontrivial. Putting the pain of switching aside, here are some things to consider:
Data Consistency: you didn't specify what file system/platform you're
using, but a database might provide better integrity checks for
Off-site Recovery: most DBAs worth anything know how to use the
replication features of their database.
Backup: depending on the situation your database vendor may provide
you with backup options (log assisted backup, snap shots, consistent
hot backups) your OS may not provide.
Logging/Auditing: security features of most modern databases should
provide you with a record of who has accessed each file.
Data Privacy: is encrypting data in your database of choice easier
than on your OS?
Technically, there's a file system/OS based solution for each of the points I listed (eg, rsync, kernel level audting, file system encryption). If what you have is adequate for your current and projected needs, you can't beat the simplicity of a file system. However, if your organization has strong DBA skills and a thin Sys Admin team, you might be better off with a database. The decision might be easy if your DBA's already have established, proven procedures to meet all of your requirements.