38850801120 has 336 divisors, whose sum is σ = 138125645280. Its totient is φ = 10321800192.

The previous prime is 38850801107. The next prime is 38850801137. The reversal of 38850801120 is 2110805883.

38850801120 is a `hidden beast` number, since 38 + 8 + 508 + 0 + 112 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46305661 + ... + 46306499.

It is an arithmetic number, because the mean of its divisors is an integer number (411088230).

Almost surely, 2^38850801120 is an apocalyptic number.

38850801120 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 38850801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69062822640).

38850801120 is an abundant number, since it is smaller than the sum of its proper divisors (99274844160).

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

38850801120 is an equidigital number, since it uses as much as digits as its factorization.

38850801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 38850801120 in words is "thirty-eight billion, eight hundred fifty million, eight hundred one thousand, one hundred twenty".