38901408 has 192 divisors, whose sum is σ = 129491712. Its totient is φ = 9953280.

The previous prime is 38901391. The next prime is 38901409. The reversal of 38901408 is 80410983.

It is a hoax number, since the sum of its digits (33) 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 (38901409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532860 + ... + 532932.

It is an arithmetic number, because the mean of its divisors is an integer number (674436).

Almost surely, 2^38901408 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 38901408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64745856).

38901408 is an abundant number, since it is smaller than the sum of its proper divisors (90590304).

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

38901408 is a wasteful number, since it uses less digits than its factorization.

38901408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 38901408 is about 6237.0993258084. The cubic root of 38901408 is about 338.8351370728.

The spelling of 38901408 in words is "thirty-eight million, nine hundred one thousand, four hundred eight".