9338965120 has 256 divisors, whose sum is σ = 24719904000. Its totient is φ = 3359784960.

The previous prime is 9338965087. The next prime is 9338965133. The reversal of 9338965120 is 215698339.

It is a happy number.

It is a super-2 number, since 2×9338965120² (a number of 21 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, 25037254 + ... + 25037626.

It is an arithmetic number, because the mean of its divisors is an integer number (96562125).

Almost surely, 2^9338965120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9338965120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12359952000).

9338965120 is an abundant number, since it is smaller than the sum of its proper divisors (15380938880).

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

9338965120 is a wasteful number, since it uses less digits than its factorization.

9338965120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The square root of 9338965120 is about 96638.3211774708. The cubic root of 9338965120 is about 2105.8765949009.

The spelling of 9338965120 in words is "nine billion, three hundred thirty-eight million, nine hundred sixty-five thousand, one hundred twenty".