38392608 has 96 divisors (see below), whose sum is σ = 105283584. Its totient is φ = 12241152.

The previous prime is 38392603. The next prime is 38392609. The reversal of 38392608 is 80629383.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (38392603) 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, 302241 + ... + 302367.

It is an arithmetic number, because the mean of its divisors is an integer number (1096704).

Almost surely, 2^38392608 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 38392608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52641792).

38392608 is an abundant number, since it is smaller than the sum of its proper divisors (66890976).

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

38392608 is a wasteful number, since it uses less digits than its factorization.

38392608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 246 counting only the distinct ones).

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

The square root of 38392608 is about 6196.1768857901. The cubic root of 38392608 is about 337.3514166264.

The spelling of 38392608 in words is "thirty-eight million, three hundred ninety-two thousand, six hundred eight".