37995264 has 144 divisors (see below), whose sum is σ = 117734400. Its totient is φ = 12063744.

The previous prime is 37995247. The next prime is 37995299. The reversal of 37995264 is 46259973.

It is a happy number.

37995264 is a `hidden beast` number, since 37 + 99 + 526 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158857 + ... + 159095.

It is an arithmetic number, because the mean of its divisors is an integer number (817600).

Almost surely, 2^37995264 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 37995264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867200).

37995264 is an abundant number, since it is smaller than the sum of its proper divisors (79739136).

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

37995264 is a wasteful number, since it uses less digits than its factorization.

37995264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 37995264 is about 6164.0298506740. The cubic root of 37995264 is about 336.1835731562.

The spelling of 37995264 in words is "thirty-seven million, nine hundred ninety-five thousand, two hundred sixty-four".