37960992 has 72 divisors (see below), whose sum is σ = 109238220. Its totient is φ = 12503040.

The previous prime is 37960987. The next prime is 37960997. The reversal of 37960992 is 29906973.

37960992 is a `hidden beast` number, since 37 + 9 + 609 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (37960987) and next prime (37960997).

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 1527696 = 6036^2 + 1236^2 .

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

It is not an unprimeable number, because it can be changed into a prime (37960997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24892 + ... + 26372.

Almost surely, 2^37960992 is an apocalyptic number.

37960992 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 37960992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54619110).

37960992 is an abundant number, since it is smaller than the sum of its proper divisors (71277228).

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

37960992 is a wasteful number, since it uses less digits than its factorization.

37960992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The square root of 37960992 is about 6161.2492239805. The cubic root of 37960992 is about 336.0824627531.

The spelling of 37960992 in words is "thirty-seven million, nine hundred sixty thousand, nine hundred ninety-two".