37044864 has 112 divisors (see below), whose sum is σ = 110928570. Its totient is φ = 12317184.

The previous prime is 37044863. The next prime is 37044871. The reversal of 37044864 is 46844073.

It can be written as a sum of positive squares in only one way, i.e., 29160000 + 7884864 = 5400^2 + 2808^2 .

It is a super-3 number, since 3×37044864³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (37044863) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 93114 + ... + 93510.

Almost surely, 2^37044864 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 37044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55464285).

37044864 is an abundant number, since it is smaller than the sum of its proper divisors (73883706).

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

37044864 is an frugal number, since it uses more digits than its factorization.

37044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 37044864 is about 6086.4492111575. The cubic root of 37044864 is about 333.3568125684.

The spelling of 37044864 in words is "thirty-seven million, forty-four thousand, eight hundred sixty-four".