9934399872 has 192 divisors, whose sum is σ = 30605352960. Its totient is φ = 3204334080.

The previous prime is 9934399843. The next prime is 9934399879. The reversal of 9934399872 is 2789934399.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9934399879) 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 23 ways as a sum of consecutive naturals, for example, 959073 + ... + 969375.

It is an arithmetic number, because the mean of its divisors is an integer number (159402880).

Almost surely, 2^9934399872 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 9934399872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15302676480).

9934399872 is an abundant number, since it is smaller than the sum of its proper divisors (20670953088).

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

9934399872 is a wasteful number, since it uses less digits than its factorization.

9934399872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10363 (or 10339 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The square root of 9934399872 is about 99671.4596662455. The cubic root of 9934399872 is about 2149.7133111155.

The spelling of 9934399872 in words is "nine billion, nine hundred thirty-four million, three hundred ninety-nine thousand, eight hundred seventy-two".