9364138900 has 72 divisors (see below), whose sum is σ = 21625475256. Its totient is φ = 3507302400.

The previous prime is 9364138897. The next prime is 9364138909. The reversal of 9364138900 is 98314639.

It can be written as a sum of positive squares in 12 ways, for example, as 391881616 + 8972257284 = 19796^2 + 94722^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9364138909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320920 + ... + 348880.

It is an arithmetic number, because the mean of its divisors is an integer number (300353823).

Almost surely, 2^9364138900 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 9364138900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10812737628).

9364138900 is an abundant number, since it is smaller than the sum of its proper divisors (12261336356).

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

9364138900 is a wasteful number, since it uses less digits than its factorization.

9364138900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28189 (or 28182 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 9364138900 is about 96768.4809222507. The cubic root of 9364138900 is about 2107.7670724656.

The spelling of 9364138900 in words is "nine billion, three hundred sixty-four million, one hundred thirty-eight thousand, nine hundred".