They are totally different films. The practical difference is that tx400 is designed as forgiving film to handle a wide range of contrasts on a single roll. It is virtually impossible to blow out your highlights. Its rendering is quite beautiful, though mostly in shades of gray. Rated normally or pulled it's a great full tone film. rated higher, you loose shadow detail but gain more contrast or snap. Back when photojournalists used film, it was the film of choice. Most of the great news photos dated from the mid 50's on to today were probably shot with tri-x 400.
Tri-x 320 has much higher local contrast. No mushy gray here. It has a strongly deliniated tonal scale from black to white and everything in between. A 320 picture has a lot more "snap". The downside is that it's relatively easy to blow the highlights with over development. The development time should be mated to the contrast of the scene. Good advice in general, but I mean that's it hard to shoot high and low contrast scenes on the same roll with 320, but not difficult with the 400.
Tri-x 400 is available in 35mm and 120. Tri-x 320 is available in 120, 220 and sheet film sizes. Tri-x 400 doesn't seem to work to well in pyro developer if that's a consideration for you.
I like both, but as I either get older or more experienced (probably older

), I prefer the prints I make from the 320 version of tri-x.
Take care,
Tom