9612338400 has 432 divisors, whose sum is σ = 38936570400. Its totient is φ = 2185850880.

The previous prime is 9612338387. The next prime is 9612338429. The reversal of 9612338400 is 48332169.

9612338400 is a `hidden beast` number, since 9 + 612 + 3 + 38 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×9612338400² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13557246 + ... + 13557954.

It is an arithmetic number, because the mean of its divisors is an integer number (90130950).

Almost surely, 2^9612338400 is an apocalyptic number.

9612338400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9612338400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19468285200).

9612338400 is an abundant number, since it is smaller than the sum of its proper divisors (29324232000).

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

9612338400 is a wasteful number, since it uses less digits than its factorization.

9612338400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9612338400 is about 98042.5336269927. The cubic root of 9612338400 is about 2126.2272698450.

The spelling of 9612338400 in words is "nine billion, six hundred twelve million, three hundred thirty-eight thousand, four hundred".