38890368 has 240 divisors, whose sum is σ = 131318880. Its totient is φ = 11404800.

The previous prime is 38890349. The next prime is 38890387. The reversal of 38890368 is 86309883.

It is an interprime number because it is at equal distance from previous prime (38890349) and next prime (38890387).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1254513 + ... + 1254543.

It is an arithmetic number, because the mean of its divisors is an integer number (547162).

Almost surely, 2^38890368 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 38890368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65659440).

38890368 is an abundant number, since it is smaller than the sum of its proper divisors (92428512).

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

38890368 is a wasteful number, since it uses less digits than its factorization.

38890368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38890368 is about 6236.2142362174. The cubic root of 38890368 is about 338.8030808738.

The spelling of 38890368 in words is "thirty-eight million, eight hundred ninety thousand, three hundred sixty-eight".