8934745600 has 480 divisors, whose sum is σ = 26304030720. Its totient is φ = 2973696000.

The previous prime is 8934745597. The next prime is 8934745601. The reversal of 8934745600 is 65474398.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8934745601) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 100390356 + ... + 100390444.

It is an arithmetic number, because the mean of its divisors is an integer number (54800064).

Almost surely, 2^8934745600 is an apocalyptic number.

8934745600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8934745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13152015360).

8934745600 is an abundant number, since it is smaller than the sum of its proper divisors (17369285120).

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

8934745600 is a wasteful number, since it uses less digits than its factorization.

8934745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 8934745600 is about 94523.7832505661. The cubic root of 8934745600 is about 2075.0444157522.

The spelling of 8934745600 in words is "eight billion, nine hundred thirty-four million, seven hundred forty-five thousand, six hundred".