Alright, let's work through 3638 times 4564 step by step
3638 × 4564 = 4564 × (3638)
+ 4564 × 8 giving us 36512
+ 4564 × 30 giving us 136920
+ 4564 × 600 which equals 2738400
+ 4564 × 3000 resulting in 13692000

= 16603832
