38128320 has 140 divisors (see below), whose sum is σ = 135721344. Its totient is φ = 10160640.

The previous prime is 38128303. The next prime is 38128351. The reversal of 38128320 is 2382183.

38128320 is a `hidden beast` number, since 381 + 283 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25185 + ... + 26655.

Almost surely, 2^38128320 is an apocalyptic number.

38128320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67860672).

38128320 is an abundant number, since it is smaller than the sum of its proper divisors (97593024).

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

38128320 is a wasteful number, since it uses less digits than its factorization.

38128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 38128320 is about 6174.8133575032. The cubic root of 38128320 is about 336.5755441830.

The spelling of 38128320 in words is "thirty-eight million, one hundred twenty-eight thousand, three hundred twenty".