9929809344 has 448 divisors, whose sum is σ = 34681070592. Its totient is φ = 2433024000.

The previous prime is 9929809319. The next prime is 9929809363. The reversal of 9929809344 is 4439089299.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×9929809344² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29999259 + ... + 29999589.

It is an arithmetic number, because the mean of its divisors is an integer number (77413104).

Almost surely, 2^9929809344 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 9929809344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17340535296).

9929809344 is an abundant number, since it is smaller than the sum of its proper divisors (24751261248).

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

9929809344 is a wasteful number, since it uses less digits than its factorization.

9929809344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The square root of 9929809344 is about 99648.4287081337. The cubic root of 9929809344 is about 2149.3821440039.

The spelling of 9929809344 in words is "nine billion, nine hundred twenty-nine million, eight hundred nine thousand, three hundred forty-four".