38023968 has 96 divisors (see below), whose sum is σ = 110388096. Its totient is φ = 11399168.

The previous prime is 38023967. The next prime is 38023981. The reversal of 38023968 is 86932083.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (38023963) 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, 37030 + ... + 38042.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 2^38023968 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 38023968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55194048).

38023968 is an abundant number, since it is smaller than the sum of its proper divisors (72364128).

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

38023968 is a wasteful number, since it uses less digits than its factorization.

38023968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 38023968 is about 6166.3577580286. The cubic root of 38023968 is about 336.2682098825.

The spelling of 38023968 in words is "thirty-eight million, twenty-three thousand, nine hundred sixty-eight".