I measured the piston with a tape measure and got 1.875, best I could do without a caliper. I think that measurment matches the 3700 but I am not sure what the bore is on a 3800.
Johnnie, 1.875 is the dia for a 3700/3800 for sure. Yours is a chrome piston, thick rings so that means its a 3800.
You have quite the mismash of parts on that one for sure. It has a 3400 recoil, a 4000 cyl cover, air filter, air filter cover and clutch cover.
The black rear handles scream later 3400/3800 but it appears the lower handle mounts have 10-24 screws in them along with the small dia round spacer between the lower rear handle mounts.
The later models use a hex spacer and 1/4" holes in the handles so that don't make sense on this one. Pull one of those screws and see what size holes are in the handles.
That piston don't look that bad but the cyl is hard for me to tell in the picture.
I know that rings can still be bought from Poulan for it.
I just looked and that cyl and piston kit is still on the books as well.