37939968 has 144 divisors (see below), whose sum is σ = 122640000. Its totient is φ = 11473920.

The previous prime is 37939961. The next prime is 37939969. The reversal of 37939968 is 86993973.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (37939961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75783 + ... + 76281.

Almost surely, 2^37939968 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 37939968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61320000).

37939968 is an abundant number, since it is smaller than the sum of its proper divisors (84700032).

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

37939968 is a wasteful number, since it uses less digits than its factorization.

37939968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 515 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 37939968 is about 6159.5428401790. The cubic root of 37939968 is about 336.0204069238.

The spelling of 37939968 in words is "thirty-seven million, nine hundred thirty-nine thousand, nine hundred sixty-eight".