Welcome to the Forum! I am guessing you have what looks like a rare barrel length Model 3 44 American, Second Model. A short barrel 44 Russian would be very rare indeed. This model was produced for only 3 years, from serial numbers 8000 to 32800. Your serial number would likely have shipped in 1873. Roy Jinks book states that Normal length of barrel was 8", but a few are known to have from 5.5", 6", 6.5", and 7" barrels. I would suggest that you get a historical letter due to its rarity.
The factory always centered the barrel address/patent dates stamp between the front sight and the front of the top strap. If an example was a cut barrel variety, that stamp would be partially cut where the front sight would be reset. I believe that is a factory barrel. Let us know the barrel length from the muzzle to the front of the cylinder?