TNmike -
Sounds like a LONG range shootin' iron! ASSUMING that it's built correctly you could calculate the weight of a 3.75" sphere of iron. You'll find that iron and zinc weigh about the same (and zinc is much easier to cast). At 3.75 you could even cast from lead, with a reduced charge to accomodate the increased mass.
I've found that one needs a heavy bullet to get the powder to burn well. But having seen (up close and personal) one cannon explode, I'd start with a reduced load and work up.
I agree with DD - slow powder for the long barrel. With my mortars I use much faster stuff because the barrels are VERY short - makes them easier to carry around and more muzzle blast is good for getting folks attention.
Good luck, be safe and send pictures!