Maya crashes occasionally, usually due to user error, such as setting the polygons too high and exploding your ram, or other things like that. I maybe get around one crash every three days.

Max on the other hand.... It crashes every 45 minutes, and corrupts not only the autosave file, but your working file as well. It also will save corrupted data, resulting in creeping file corruption, until the file is completely useless.

All in all, Maya is probably one the most stable 3d apps out there.