9345004800 has 432 divisors, whose sum is σ = 32057114880. Its totient is φ = 2396160000.

The previous prime is 9345004793. The next prime is 9345004813. The reversal of 9345004800 is 84005439.

It is a super-2 number, since 2×9345004800² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 92524750 + ... + 92524850.

Almost surely, 2^9345004800 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 9345004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16028557440).

9345004800 is an abundant number, since it is smaller than the sum of its proper divisors (22712110080).

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

9345004800 is a wasteful number, since it uses less digits than its factorization.

9345004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 9345004800 is about 96669.5650140208. The cubic root of 9345004800 is about 2106.3304667430.

The spelling of 9345004800 in words is "nine billion, three hundred forty-five million, four thousand, eight hundred".