38935968 has 48 divisors (see below), whose sum is σ = 102695040. Its totient is φ = 12916736.

The previous prime is 38935927. The next prime is 38935979. The reversal of 38935968 is 86953983.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 38935968.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22096 + ... + 23792.

It is an arithmetic number, because the mean of its divisors is an integer number (2139480).

Almost surely, 2^38935968 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 38935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51347520).

38935968 is an abundant number, since it is smaller than the sum of its proper divisors (63759072).

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

38935968 is a wasteful number, since it uses less digits than its factorization.

38935968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1941 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 38935968 is about 6239.8692293990. The cubic root of 38935968 is about 338.9354477204.

It can be divided in two parts, 38935 and 968, that added together give a triangular number (39903 = T₂₈₂).

The spelling of 38935968 in words is "thirty-eight million, nine hundred thirty-five thousand, nine hundred sixty-eight".