37882368 has 60 divisors (see below), whose sum is σ = 109344378. Its totient is φ = 12625920.

The previous prime is 37882363. The next prime is 37882379. The reversal of 37882368 is 86328873.

It can be written as a sum of positive squares in only one way, i.e., 23503104 + 14379264 = 4848^2 + 3792^2 .

It is not an unprimeable number, because it can be changed into a prime (37882363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 498 + ... + 8718.

Almost surely, 2^37882368 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 37882368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54672189).

37882368 is an abundant number, since it is smaller than the sum of its proper divisors (71462010).

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

37882368 is an equidigital number, since it uses as much as digits as its factorization.

37882368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8245 (or 8226 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 37882368 is about 6154.8653925167. The cubic root of 37882368 is about 335.8502734256.

The spelling of 37882368 in words is "thirty-seven million, eight hundred eighty-two thousand, three hundred sixty-eight".