38834933760 has 832 divisors, whose sum is σ = 161041612800. Its totient is φ = 8695185408.

The previous prime is 38834933743. The next prime is 38834933791. The reversal of 38834933760 is 6733943883.

38834933760 is a `hidden beast` number, since 3 + 8 + 83 + 493 + 3 + 76 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38834933697 and 38834933706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 305786817 + ... + 305786943.

Almost surely, 2^38834933760 is an apocalyptic number.

38834933760 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 38834933760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80520806400).

38834933760 is an abundant number, since it is smaller than the sum of its proper divisors (122206679040).

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

38834933760 is a wasteful number, since it uses less digits than its factorization.

38834933760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 38834933760 in words is "thirty-eight billion, eight hundred thirty-four million, nine hundred thirty-three thousand, seven hundred sixty".