9713438200 has 96 divisors (see below), whose sum is σ = 23601391200. Its totient is φ = 3710812160.

The previous prime is 9713438179. The next prime is 9713438309. The reversal of 9713438200 is 28343179.

It is a self number, because there is not a number n which added to its sum of digits gives 9713438200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4272264 + ... + 4274536.

It is an arithmetic number, because the mean of its divisors is an integer number (245847825).

Almost surely, 2^9713438200 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 9713438200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11800695600).

9713438200 is an abundant number, since it is smaller than the sum of its proper divisors (13887953000).

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

9713438200 is a wasteful number, since it uses less digits than its factorization.

9713438200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3241 (or 3232 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 9713438200 is about 98556.7765300794. The cubic root of 9713438200 is about 2133.6556354407.

The spelling of 9713438200 in words is "nine billion, seven hundred thirteen million, four hundred thirty-eight thousand, two hundred".