37964625 has 32 divisors (see below), whose sum is σ = 65370240. Its totient is φ = 19544000.

The previous prime is 37964593. The next prime is 37964629. The reversal of 37964625 is 52646973.

It is not a de Polignac number, because 37964625 - 2⁵ = 37964593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (37964629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9130 + ... + 12620.

It is an arithmetic number, because the mean of its divisors is an integer number (2042820).

Almost surely, 2^37964625 is an apocalyptic number.

It is an amenable number.

37964625 is a deficient number, since it is larger than the sum of its proper divisors (27405615).

37964625 is a wasteful number, since it uses less digits than its factorization.

37964625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3538 (or 3528 counting only the distinct ones).

The product of its digits is 272160, while the sum is 42.

The square root of 37964625 is about 6161.5440435008. The cubic root of 37964625 is about 336.0931838344.

The spelling of 37964625 in words is "thirty-seven million, nine hundred sixty-four thousand, six hundred twenty-five".