38737968 has 80 divisors (see below), whose sum is σ = 109680480. Its totient is φ = 11726848.

The previous prime is 38737949. The next prime is 38737973. The reversal of 38737968 is 86973783.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 38737968.

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, 22846 + ... + 24482.

It is an arithmetic number, because the mean of its divisors is an integer number (1371006).

Almost surely, 2^38737968 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 38737968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54840240).

38737968 is an abundant number, since it is smaller than the sum of its proper divisors (70942512).

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

38737968 is a wasteful number, since it uses less digits than its factorization.

38737968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1688 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 51.

The square root of 38737968 is about 6223.9832904660. The cubic root of 38737968 is about 338.3599447361.

The spelling of 38737968 in words is "thirty-eight million, seven hundred thirty-seven thousand, nine hundred sixty-eight".