9338006500 has 96 divisors (see below), whose sum is σ = 21665629440. Its totient is φ = 3503808000.

The previous prime is 9338006497. The next prime is 9338006533. The reversal of 9338006500 is 56008339.

9338006500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 31 ways as a sum of consecutive naturals, for example, 2811841 + ... + 2815159.

It is an arithmetic number, because the mean of its divisors is an integer number (225683640).

Almost surely, 2^9338006500 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 9338006500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10832814720).

9338006500 is an abundant number, since it is smaller than the sum of its proper divisors (12327622940).

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

9338006500 is a wasteful number, since it uses less digits than its factorization.

9338006500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 9338006500 is about 96633.3612165074. The cubic root of 9338006500 is about 2105.8045382197.

The spelling of 9338006500 in words is "nine billion, three hundred thirty-eight million, six thousand, five hundred".