37468816 has 80 divisors (see below), whose sum is σ = 95886720. Its totient is φ = 13731840.

The previous prime is 37468813. The next prime is 37468819. The reversal of 37468816 is 61886473.

37468816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (37468813) and next prime (37468819).

It is not an unprimeable number, because it can be changed into a prime (37468813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20050 + ... + 21838.

It is an arithmetic number, because the mean of its divisors is an integer number (1198584).

Almost surely, 2^37468816 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 37468816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47943360).

37468816 is an abundant number, since it is smaller than the sum of its proper divisors (58417904).

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

37468816 is a wasteful number, since it uses less digits than its factorization.

37468816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1826 counting only the distinct ones).

The product of its digits is 193536, while the sum is 43.

The square root of 37468816 is about 6121.1776644695. The cubic root of 37468816 is about 334.6236688797.

The spelling of 37468816 in words is "thirty-seven million, four hundred sixty-eight thousand, eight hundred sixteen".