This firearm was probably made in 1966. I say probably because firearm do not always come off the assembly line in exact s/n order.
Your winchester model 1894 rifle was made by winchester in 1970.
1967
With the serial number that you provided,Your Winchester model 1894 rifle in .32 special was made by Winchester in 1904.
The gun was made in 1926.
The gun was made in 1964
With the serial number that you have supplied;your Winchester model 1894 rifle was made in the year 1901.
your Winchester model 1892 was made in the first year of production which was 1892.
With the serial number that you have supplied,your Winchester model 1894 rifle/carbine was made in the year 1952.
With the serial number that you provided,your Winchester model 1894 rifle was produced in the year 1954.
serial# 3335539
Your serial number indicates that your Winchester model 1894 rifle in 32 Win.Spl. was made in the year 1969.I believe that Winchester dropped the 32 Winchester Special chambering in the year 1972.I was fortunate enough to find a Marlin model 336 chambered in 32 Winchester Special a few years back.Mine was made in 1950 and is enjoying life as a deer rifle for my grandson as it was intended.
In order to answer your question correctly I would need to know what model of Winchester you have that is chambered for the 32-40 cartridge and the serial number that you already posted.