37963968 has 112 divisors (see below), whose sum is σ = 117433344. Its totient is φ = 10598400.

The previous prime is 37963949. The next prime is 37963973. The reversal of 37963968 is 86936973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 37963968.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62868 + ... + 63468.

It is an arithmetic number, because the mean of its divisors is an integer number (1048512).

Almost surely, 2^37963968 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 37963968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58716672).

37963968 is an abundant number, since it is smaller than the sum of its proper divisors (79469376).

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

37963968 is a wasteful number, since it uses less digits than its factorization.

37963968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 37963968 is about 6161.4907287117. The cubic root of 37963968 is about 336.0912450603.

The spelling of 37963968 in words is "thirty-seven million, nine hundred sixty-three thousand, nine hundred sixty-eight".