3857200 has 30 divisors (see below), whose sum is σ = 9267884. Its totient is φ = 1542720.

The previous prime is 3857179. The next prime is 3857207. The reversal of 3857200 is 27583.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3857207) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4422 + ... + 5221.

Almost surely, 2^3857200 is an apocalyptic number.

It is an amenable number.

3857200 is an abundant number, since it is smaller than the sum of its proper divisors (5410684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3857200 is a wasteful number, since it uses less digits than its factorization.

3857200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9661 (or 9650 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 3857200 is about 1963.9755599294. The cubic root of 3857200 is about 156.8281620248.

The spelling of 3857200 in words is "three million, eight hundred fifty-seven thousand, two hundred".