3687957 has 64 divisors (see below), whose sum is σ = 7168000. Its totient is φ = 1819584.

The previous prime is 3687941. The next prime is 3687967. The reversal of 3687957 is 7597863.

It is a happy number.

It is not a de Polignac number, because 3687957 - 2⁴ = 3687941 is a prime.

3687957 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3687967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46644 + ... + 46722.

It is an arithmetic number, because the mean of its divisors is an integer number (112000).

Almost surely, 2^3687957 is an apocalyptic number.

It is an amenable number.

3687957 is a deficient number, since it is larger than the sum of its proper divisors (3480043).

3687957 is a wasteful number, since it uses less digits than its factorization.

3687957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 121 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 3687957 is about 1920.4054259453. The cubic root of 3687957 is about 154.5000471298.

The spelling of 3687957 in words is "three million, six hundred eighty-seven thousand, nine hundred fifty-seven".