No way to answer without knowing if it is a rifle or shotgun, what type action it as and caliber/gauge.
Proofhouse.com has Winchester serial numbers.
Proofhouse.com has serial number tables for Winchester.
serial no.3223584m.Your serial number indicates that your Winchester rifle was made in the year 1969.
What is Age of Winchester 1897 D 16 gage serial number 413803
YOu will need to provide the serial number.
You will need to provide the model of Winchester you are asking about,along with the serial number in order to age your Winchester and give you a year of production.
Your Winchester model 1873 rifle was made by Winchester in 1904,with the serial number that you provided.
With the serial number that you provided,your winchester model 12 shotgun was made by winchester in 1927.
Your Winchester was manufactured in 1939.
Proofhouse.com has Winchester sn tables.
1969
Your Winchester model 1894 rifle was made by winchester in 1971,with the serial number you provided.