37364864 has 32 divisors (see below), whose sum is σ = 74798640. Its totient is φ = 18592000.

The previous prime is 37364863. The next prime is 37364891. The reversal of 37364864 is 46846373.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×37364864² = 2792266123476992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (37364863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31547 + ... + 32709.

Almost surely, 2^37364864 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 37364864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37399320).

37364864 is an abundant number, since it is smaller than the sum of its proper divisors (37433776).

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

37364864 is a wasteful number, since it uses less digits than its factorization.

37364864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1416 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 37364864 is about 6112.6805903793. The cubic root of 37364864 is about 334.3139267034.

The spelling of 37364864 in words is "thirty-seven million, three hundred sixty-four thousand, eight hundred sixty-four".