38329968 has 80 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 11885568.

The previous prime is 38329933. The next prime is 38330003. The reversal of 38329968 is 86992383.

It is an interprime number because it is at equal distance from previous prime (38329933) and next prime (38330003).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 87093 + ... + 87531.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^38329968 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 38329968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

38329968 is an abundant number, since it is smaller than the sum of its proper divisors (67734672).

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

38329968 is a wasteful number, since it uses less digits than its factorization.

38329968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 568 counting only the distinct ones).

The product of its digits is 559872, while the sum is 48.

The square root of 38329968 is about 6191.1200925196. The cubic root of 38329968 is about 337.1678466039.

The spelling of 38329968 in words is "thirty-eight million, three hundred twenty-nine thousand, nine hundred sixty-eight".