37258816 has 63 divisors (see below), whose sum is σ = 86802849. Its totient is φ = 15821568.

The previous prime is 37258801. The next prime is 37258853. The reversal of 37258816 is 61885273.

The square root of 37258816 is 6104.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 25969216 + 11289600 = 5096^2 + 3360^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 341770 + ... + 341878.

It is an arithmetic number, because the mean of its divisors is an integer number (1377823).

Almost surely, 2^37258816 is an apocalyptic number.

37258816 is the 6104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37258816

37258816 is an abundant number, since it is smaller than the sum of its proper divisors (49544033).

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

37258816 is an equidigital number, since it uses as much as digits as its factorization.

37258816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 118 counting only the distinct ones).

The product of its digits is 80640, while the sum is 40.

The cubic root of 37258816 is about 333.9973466030.

The spelling of 37258816 in words is "thirty-seven million, two hundred fifty-eight thousand, eight hundred sixteen".