Alright, let's work through 3782 times 6408 step by step
3782 × 6408 = 6408 × (3782)
+ 6408 × 2 producing 12816
+ 6408 × 80 resulting in 512640
+ 6408 × 700 that results in 4485600
+ 6408 × 3000 giving us 19224000

= 24235056
