Alright, let's work through 3707 times 1697 step by step
3707 × 1697 = 1697 × (3707)
+ 1697 × 7 which equals 11879
+ 1697 × 00 giving us 0
+ 1697 × 700 that equals 1187900
+ 1697 × 3000 yielding 5091000

= 6290779
