Alright, let's work through 3677 times 5936 step by step
3677 × 5936 = 5936 × (3677)
+ 5936 × 7 resulting in 41552
+ 5936 × 70 yielding 415520
+ 5936 × 600 that equals 3561600
+ 5936 × 3000 which equals 17808000

= 21826672
