38118508800 has 216 divisors, whose sum is σ = 125985373920. Its totient is φ = 10149888000.

The previous prime is 38118508783. The next prime is 38118508823. The reversal of 38118508800 is 880581183.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20178256 + ... + 20180144.

It is an arithmetic number, because the mean of its divisors is an integer number (583265620).

Almost surely, 2^38118508800 is an apocalyptic number.

38118508800 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 38118508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62992686960).

38118508800 is an abundant number, since it is smaller than the sum of its proper divisors (87866865120).

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

38118508800 is a wasteful number, since it uses less digits than its factorization.

38118508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 42.

The spelling of 38118508800 in words is "thirty-eight billion, one hundred eighteen million, five hundred eight thousand, eight hundred".