9438540800 has 264 divisors, whose sum is σ = 25585862400. Its totient is φ = 3431301120.

The previous prime is 9438540737. The next prime is 9438540821. The reversal of 9438540800 is 80458349.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26291021 + ... + 26291379.

Almost surely, 2^9438540800 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 9438540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792931200).

9438540800 is an abundant number, since it is smaller than the sum of its proper divisors (16147321600).

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

9438540800 is a wasteful number, since it uses less digits than its factorization.

9438540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The square root of 9438540800 is about 97152.1528325544. The cubic root of 9438540800 is about 2113.3347088285.

The spelling of 9438540800 in words is "nine billion, four hundred thirty-eight million, five hundred forty thousand, eight hundred".