9004282368 has 80 divisors (see below), whose sum is σ = 24257867040. Its totient is φ = 2967658496.

The previous prime is 9004282361. The next prime is 9004282423. The reversal of 9004282368 is 8632824009.

It is a super-3 number, since 3×9004282368³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9004282361) 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 7 ways as a sum of consecutive naturals, for example, 103771 + ... + 169637.

It is an arithmetic number, because the mean of its divisors is an integer number (303223338).

Almost surely, 2^9004282368 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 9004282368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12128933520).

9004282368 is an abundant number, since it is smaller than the sum of its proper divisors (15253584672).

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

9004282368 is an equidigital number, since it uses as much as digits as its factorization.

9004282368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65977 (or 65961 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 9004282368 is about 94890.8971819742. The cubic root of 9004282368 is about 2080.4136849764.

The spelling of 9004282368 in words is "nine billion, four million, two hundred eighty-two thousand, three hundred sixty-eight".