Alright, let's work through 5675 times 3577 step by step
5675 × 3577 = 3577 × (5675)
+ 3577 × 5 what gives us 17885
+ 3577 × 70 that results in 250390
+ 3577 × 600 yielding 2146200
+ 3577 × 5000 which equals 17885000

= 20299475
