9934846272 has 336 divisors, whose sum is σ = 32000131072. Its totient is φ = 2926264320.

The previous prime is 9934846249. The next prime is 9934846277. The reversal of 9934846272 is 2726484399.

9934846272 is a `hidden beast` number, since 9 + 9 + 3 + 4 + 8 + 4 + 627 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9934846277) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29480088 + ... + 29480424.

Almost surely, 2^9934846272 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 9934846272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16000065536).

9934846272 is an abundant number, since it is smaller than the sum of its proper divisors (22065284800).

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

9934846272 is a wasteful number, since it uses less digits than its factorization.

9934846272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The square root of 9934846272 is about 99673.6989982814. The cubic root of 9934846272 is about 2149.7455095929.

The spelling of 9934846272 in words is "nine billion, nine hundred thirty-four million, eight hundred forty-six thousand, two hundred seventy-two".