9930345984 has 400 divisors, whose sum is σ = 32399457552. Its totient is φ = 3009871872.

The previous prime is 9930345941. The next prime is 9930345989. The reversal of 9930345984 is 4895430399.

It is a super-2 number, since 2×9930345984² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9930345984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9930345989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60922287 + ... + 60922449.

Almost surely, 2^9930345984 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 9930345984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16199728776).

9930345984 is an abundant number, since it is smaller than the sum of its proper divisors (22469111568).

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

9930345984 is a wasteful number, since it uses less digits than its factorization.

9930345984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The square root of 9930345984 is about 99651.1213383974. The cubic root of 9930345984 is about 2149.4208632319.

The spelling of 9930345984 in words is "nine billion, nine hundred thirty million, three hundred forty-five thousand, nine hundred eighty-four".