9730638736 has 135 divisors (see below), whose sum is σ = 23835909393. Its totient is φ = 3835278720.

The previous prime is 9730638719. The next prime is 9730638751. The reversal of 9730638736 is 6378360379.

The square root of 9730638736 is 98644.

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

9730638736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1439443600 + 8291195136 = 37940^2 + 91056^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 35906281 + ... + 35906551.

Almost surely, 2^9730638736 is an apocalyptic number.

9730638736 is the 98644-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9730638736

9730638736 is an abundant number, since it is smaller than the sum of its proper divisors (14105270657).

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

9730638736 is a wasteful number, since it uses less digits than its factorization.

9730638736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 52.

The cubic root of 9730638736 is about 2134.9143170845.

The spelling of 9730638736 in words is "nine billion, seven hundred thirty million, six hundred thirty-eight thousand, seven hundred thirty-six".