9234825600 has 1152 divisors, whose sum is σ = 42199799040. Its totient is φ = 1714176000.

The previous prime is 9234825599. The next prime is 9234825601. The reversal of 9234825600 is 65284329.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9234825599) and next prime (9234825601).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9234825601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 297897585 + ... + 297897615.

It is an arithmetic number, because the mean of its divisors is an integer number (36631770).

Almost surely, 2^9234825600 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 9234825600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21099899520).

9234825600 is an abundant number, since it is smaller than the sum of its proper divisors (32964973440).

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

9234825600 is a wasteful number, since it uses less digits than its factorization.

9234825600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 9234825600 is about 96097.9999791879. Note that the first 4 decimals coincide. The cubic root of 9234825600 is about 2098.0197205043.

The spelling of 9234825600 in words is "nine billion, two hundred thirty-four million, eight hundred twenty-five thousand, six hundred".