9634334112 has 288 divisors, whose sum is σ = 31424636880. Its totient is φ = 2773647360.

The previous prime is 9634334069. The next prime is 9634334113. The reversal of 9634334112 is 2114334369.

9634334112 is a `hidden beast` number, since 9 + 634 + 3 + 3 + 4 + 1 + 12 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8063321616 + 1571012496 = 89796^2 + 39636^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (9634334113) 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, 14575062 + ... + 14575722.

Almost surely, 2^9634334112 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 9634334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15712318440).

9634334112 is an abundant number, since it is smaller than the sum of its proper divisors (21790302768).

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

9634334112 is a wasteful number, since it uses less digits than its factorization.

9634334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 925 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 9634334112 is about 98154.6438636502. The cubic root of 9634334112 is about 2127.8478347675.

The spelling of 9634334112 in words is "nine billion, six hundred thirty-four million, three hundred thirty-four thousand, one hundred twelve".