38313968 has 80 divisors (see below), whose sum is σ = 93636864. Its totient is φ = 14753280.

The previous prime is 38313953. The next prime is 38313983. The reversal of 38313968 is 86931383.

38313968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38313953) and next prime (38313983).

Its product of digits (93312) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168671 + ... + 168897.

Almost surely, 2^38313968 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 38313968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46818432).

38313968 is an abundant number, since it is smaller than the sum of its proper divisors (55322896).

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

38313968 is a wasteful number, since it uses less digits than its factorization.

38313968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 384 counting only the distinct ones).

The product of its digits is 93312, while the sum is 41.

The square root of 38313968 is about 6189.8277843572. The cubic root of 38313968 is about 337.1209256469.

The spelling of 38313968 in words is "thirty-eight million, three hundred thirteen thousand, nine hundred sixty-eight".