When is the manufacture date of savage arms 300 savage serial 367724?
Your Savage was made in the year 1937 if you have a model 99 lever action rifle.
If it was manufactured after Dec 31, 1968, the serial number will be plainly marked on the receiver. There will be some numbers under the barrels, but they may serial numbers or just batch/lot numbers that will not help identify the date of manufacture. Serial numbers were not required on long arms in the US until 1969.