Thanks for the welcome, Wagtail.
I have looked at the info from this website already on the two versions and can find nothing definitive that specifies which model I have, although the picture of the the 340 has 340 on the loader arm and the 340A has 340A on the loader arm. I guess, unless someone swapped loaders on mine before I bought it, that it would more likely be a 340, since that is what is on my loader arm, so I guess I will buy that manual.
I did find another post listed below this, in the Similar Threads section just now that talks about the differences in the 340 and 340A transmissions. I will see if I can figure out more by trying some of the shifting they talk about in that post. Thanks again, and you will most likely see me here again as I begin using and working on this beast more. It's good to know there are forums for equipment like this. Very helpful to us uneducated users.