9345796200 has 480 divisors, whose sum is σ = 35289408000. Its totient is φ = 2278679040.

The previous prime is 9345796147. The next prime is 9345796217. The reversal of 9345796200 is 26975439.

It is a happy number.

9345796200 is a `hidden beast` number, since 93 + 457 + 96 + 20 + 0 = 666.

It is a super-2 number, since 2×9345796200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 41909289 + ... + 41909511.

It is an arithmetic number, because the mean of its divisors is an integer number (73519600).

Almost surely, 2^9345796200 is an apocalyptic number.

9345796200 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 9345796200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17644704000).

9345796200 is an abundant number, since it is smaller than the sum of its proper divisors (25943611800).

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

9345796200 is a wasteful number, since it uses less digits than its factorization.

9345796200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 9345796200 is about 96673.6582529078. The cubic root of 9345796200 is about 2106.3899246357.

The spelling of 9345796200 in words is "nine billion, three hundred forty-five million, seven hundred ninety-six thousand, two hundred".