38334120960 has 352 divisors, whose sum is σ = 129992688000. Its totient is φ = 9624616960.

The previous prime is 38334120959. The next prime is 38334121013. The reversal of 38334120960 is 6902143383.

It is a super-2 number, since 2×38334120960² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18261991 + ... + 18264089.

Almost surely, 2^38334120960 is an apocalyptic number.

38334120960 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 38334120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64996344000).

38334120960 is an abundant number, since it is smaller than the sum of its proper divisors (91658567040).

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

38334120960 is a wasteful number, since it uses less digits than its factorization.

38334120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2197 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 38334120960 in words is "thirty-eight billion, three hundred thirty-four million, one hundred twenty thousand, nine hundred sixty".