9834688900 has 81 divisors (see below), whose sum is σ = 21908836677. Its totient is φ = 3831928800.

The previous prime is 9834688883. The next prime is 9834688909. The reversal of 9834688900 is 98864389.

The square root of 9834688900 is 99170.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3540488004 + 6294200896 = 59502^2 + 79336^2 .

It is a super-2 number, since 2×9834688900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9834688909) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 46609795 + ... + 46610005.

Almost surely, 2^9834688900 is an apocalyptic number.

9834688900 is the 99170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9834688900

9834688900 is an abundant number, since it is smaller than the sum of its proper divisors (12074147777).

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

9834688900 is a wasteful number, since it uses less digits than its factorization.

9834688900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 55.

The cubic root of 9834688900 is about 2142.4969326168.

The spelling of 9834688900 in words is "nine billion, eight hundred thirty-four million, six hundred eighty-eight thousand, nine hundred".