37630368 has 72 divisors (see below), whose sum is σ = 107724708. Its totient is φ = 12460032.

The previous prime is 37630339. The next prime is 37630379. The reversal of 37630368 is 86303673.

It can be written as a sum of positive squares in 2 ways, for example, as 35856144 + 1774224 = 5988^2 + 1332^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55246 + ... + 55922.

Almost surely, 2^37630368 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 37630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53862354).

37630368 is an abundant number, since it is smaller than the sum of its proper divisors (70094340).

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

37630368 is a wasteful number, since it uses less digits than its factorization.

37630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 37630368 is about 6134.3596242803. The cubic root of 37630368 is about 335.1039048004.

It can be divided in two parts, 3 and 7630368, that added together give a triangular number (7630371 = T₃₉₀₆).

The spelling of 37630368 in words is "thirty-seven million, six hundred thirty thousand, three hundred sixty-eight".