Alright, let's work through 3349 times 8877 step by step
3349 × 8877 = 8877 × (3349)
+ 8877 × 9 resulting in 79893
+ 8877 × 40 what gives us 355080
+ 8877 × 300 producing 2663100
+ 8877 × 3000 producing 26631000

= 29729073
