37968992 has 48 divisors (see below), whose sum is σ = 79334640. Its totient is φ = 17837568.

The previous prime is 37968989. The next prime is 37969039. The reversal of 37968992 is 29986973.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119618 + ... + 119934.

It is an arithmetic number, because the mean of its divisors is an integer number (1652805).

Almost surely, 2^37968992 is an apocalyptic number.

37968992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37968992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39667320).

37968992 is an abundant number, since it is smaller than the sum of its proper divisors (41365648).

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

37968992 is a wasteful number, since it uses less digits than its factorization.

37968992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 535 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 53.

The square root of 37968992 is about 6161.8984087698. The cubic root of 37968992 is about 336.1060700643.

The spelling of 37968992 in words is "thirty-seven million, nine hundred sixty-eight thousand, nine hundred ninety-two".