A Colt .44 1860 army model with serial number 35 was made in 1860, the first year of production.
The AA serial number indicates a 1965 year of manufacture.
@35 years old
The AA prefix to your serial number dates your marlin model 336 RC(regular carbine) to the year 1965.
By including the serial number in your question.
Will need the serial number to your marlin if we are going to help you on this question.
year of massey ferguson 35 with serial number 251807
1950
Your 35cal marlin was made in 1963.
The year of manufacture for R = 1957-1958. (source:) http://armscollectors.com/sn/marlinlookup.php
S&W has never made a 35 cal revolver for commercial sale.
1981
1877 if it's a Single Action Army. Nothing special about the serial number.