38957829120 has 704 divisors, whose sum is σ = 159976488960. Its totient is φ = 8806662144.

The previous prime is 38957829103. The next prime is 38957829133. The reversal of 38957829120 is 2192875983.

38957829120 is a `hidden beast` number, since 38 + 9 + 578 + 29 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122895202 + ... + 122895518.

Almost surely, 2^38957829120 is an apocalyptic number.

38957829120 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 38957829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79988244480).

38957829120 is an abundant number, since it is smaller than the sum of its proper divisors (121018659840).

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

38957829120 is a wasteful number, since it uses less digits than its factorization.

38957829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 38957829120 in words is "thirty-eight billion, nine hundred fifty-seven million, eight hundred twenty-nine thousand, one hundred twenty".