9321984000 has 936 divisors, whose sum is σ = 40797470688. Its totient is φ = 2005401600.

The previous prime is 9321983989. The next prime is 9321984103. The reversal of 9321984000 is 4891239.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 548351992 + ... + 548352008.

Almost surely, 2^9321984000 is an apocalyptic number.

9321984000 is a gapful number since it is divisible by the number (90) 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 9321984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20398735344).

9321984000 is an abundant number, since it is smaller than the sum of its proper divisors (31475486688).

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

9321984000 is a wasteful number, since it uses less digits than its factorization.

9321984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9321984000 is about 96550.4220601857. The cubic root of 9321984000 is about 2104.5994427058.

The spelling of 9321984000 in words is "nine billion, three hundred twenty-one million, nine hundred eighty-four thousand".