3957200 has 60 divisors (see below), whose sum is σ = 10251948. Its totient is φ = 1459200.

The previous prime is 3957179. The next prime is 3957223. The reversal of 3957200 is 27593.

It can be written as a sum of positive squares in 6 ways, for example, as 1658944 + 2298256 = 1288^2 + 1516^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3957200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4820 + ... + 5580.

Almost surely, 2^3957200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3957200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5125974).

3957200 is an abundant number, since it is smaller than the sum of its proper divisors (6294748).

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

3957200 is a wasteful number, since it uses less digits than its factorization.

3957200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 3957200 is about 1989.2712233378. The cubic root of 3957200 is about 158.1719007142.

The spelling of 3957200 in words is "three million, nine hundred fifty-seven thousand, two hundred".