9380832000 has 576 divisors, whose sum is σ = 33927129600. Its totient is φ = 2289254400.

The previous prime is 9380831983. The next prime is 9380832007. The reversal of 9380832000 is 2380839.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9380832007) by changing a digit.

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, 67487931 + ... + 67488069.

Almost surely, 2^9380832000 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 9380832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16963564800).

9380832000 is an abundant number, since it is smaller than the sum of its proper divisors (24546297600).

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

9380832000 is a wasteful number, since it uses less digits than its factorization.

9380832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 9380832000 is about 96854.6952914519. The cubic root of 9380832000 is about 2109.0188081142.

The spelling of 9380832000 in words is "nine billion, three hundred eighty million, eight hundred thirty-two thousand".