38750939136 has 960 divisors, whose sum is σ = 151835523840. Its totient is φ = 9555148800.

The previous prime is 38750939131. The next prime is 38750939177. The reversal of 38750939136 is 63193905783.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (38750939131) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 256628661 + ... + 256628811.

It is an arithmetic number, because the mean of its divisors is an integer number (158162004).

Almost surely, 2^38750939136 is an apocalyptic number.

38750939136 is a gapful number since it is divisible by the number (36) 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 38750939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75917761920).

38750939136 is an abundant number, since it is smaller than the sum of its proper divisors (113084584704).

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

38750939136 is a wasteful number, since it uses less digits than its factorization.

38750939136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 38750939136 in words is "thirty-eight billion, seven hundred fifty million, nine hundred thirty-nine thousand, one hundred thirty-six".