37968042 has 64 divisors (see below), whose sum is σ = 93312000. Its totient is φ = 10266480.

The previous prime is 37968019. The next prime is 37968053. The reversal of 37968042 is 24086973.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 38617 + ... + 39587.

It is an arithmetic number, because the mean of its divisors is an integer number (1458000).

Almost surely, 2^37968042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37968042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46656000).

37968042 is an abundant number, since it is smaller than the sum of its proper divisors (55343958).

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

37968042 is a wasteful number, since it uses less digits than its factorization.

37968042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 37968042 is about 6161.8213216548. The cubic root of 37968042 is about 336.1032668696.

The spelling of 37968042 in words is "thirty-seven million, nine hundred sixty-eight thousand, forty-two".