37364544 has 112 divisors (see below), whose sum is σ = 125577600. Its totient is φ = 10672128.

The previous prime is 37364533. The next prime is 37364567. The reversal of 37364544 is 44546373.

It is a happy number.

37364544 is a `hidden beast` number, since 3 + 7 + 3 + 645 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×37364544² = 2792218296655872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 37364499 and 37364508.

It is a congruent number.

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, 10552 + ... + 13640.

Almost surely, 2^37364544 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 37364544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62788800).

37364544 is an abundant number, since it is smaller than the sum of its proper divisors (88213056).

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

37364544 is a wasteful number, since it uses less digits than its factorization.

37364544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117 (or 3101 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 37364544 is about 6112.6544152275. The cubic root of 37364544 is about 334.3129723241.

The spelling of 37364544 in words is "thirty-seven million, three hundred sixty-four thousand, five hundred forty-four".