9340336800 has 432 divisors, whose sum is σ = 35658342720. Its totient is φ = 2381322240.

The previous prime is 9340336781. The next prime is 9340336807. The reversal of 9340336800 is 86330439.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (9340336807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4470156 + ... + 4472244.

It is an arithmetic number, because the mean of its divisors is an integer number (82542460).

Almost surely, 2^9340336800 is an apocalyptic number.

9340336800 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 9340336800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829171360).

9340336800 is an abundant number, since it is smaller than the sum of its proper divisors (26318005920).

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

9340336800 is a wasteful number, since it uses less digits than its factorization.

9340336800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2122 counting only the distinct ones).

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

The square root of 9340336800 is about 96645.4178944869. The cubic root of 9340336800 is about 2105.9796915274.

The spelling of 9340336800 in words is "nine billion, three hundred forty million, three hundred thirty-six thousand, eight hundred".