9934393644 has 288 divisors, whose sum is σ = 30339219456. Its totient is φ = 2682408960.

The previous prime is 9934393621. The next prime is 9934393691. The reversal of 9934393644 is 4463934399.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78223509 + ... + 78223635.

It is an arithmetic number, because the mean of its divisors is an integer number (105344512).

Almost surely, 2^9934393644 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 9934393644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15169609728).

9934393644 is an abundant number, since it is smaller than the sum of its proper divisors (20404825812).

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

9934393644 is a wasteful number, since it uses less digits than its factorization.

9934393644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

The product of its digits is 7558272, while the sum is 54.

The square root of 9934393644 is about 99671.4284235959. The cubic root of 9934393644 is about 2149.7128618880.

The spelling of 9934393644 in words is "nine billion, nine hundred thirty-four million, three hundred ninety-three thousand, six hundred forty-four".