USB flash drive and Airport Extreme

I got an Airport Extreme, and one of the reasons why is so that I can have a drive attached to the router so that I don't have to leave on a computer for file sharing or go in and boot up the computer when I needed some files. I am using a 16GB USB flash drive at the moment formatted with FAT32 (no mac in the house). I tried to backup some stuff on it, a bunch of smaller files in a folder totalling about 4.3 GB. The base station keeps rebooting itself in the middle of the transfer.

I saw some threads on here that are hinting that Airport Extreme doesn't work well with any type of external storage, whether an actual HDD or a flash drive. Those were somewhat dated. Is there a way to fix this? I'm using the latest firmware.