Marsh Lake resident David Harper bought the ticket at Takhini Gas north of Whitehorse. He says he buys random number tickets every week and found out he'd won after checking the lottery's website.
He says his immediate plans are simple: "A new roof on the house and be debt-free."
Harper says he was tempted to start spending the money right away but has decided to be cautious.
He says he's thinking about his daughters, who are 22 and 24, respectively.
"It's only $3.5 million; it's not $35 million. I've told people this. If it had been $35 million, that's a whole new ball game," Harper said.
"I'm thinking long term for my kids. Really sorry if you think I'm being greedy, but put yourself in my situation, and all of a sudden, you're not being greedy, you're just being smart."
Harper has lived in Yukon for 40 years and works as a truck driver for General Waste Management emptying garbage dumpsters.
He's promised his employer he'll stay on the job for at least six months.
After a news conference Wednesday, where he was presented with a giant ceremonial cheque, Harper got into his truck and went back to work.