9003660336 has 360 divisors, whose sum is σ = 29089249280. Its totient is φ = 2594592000.

The previous prime is 9003660331. The next prime is 9003660389. The reversal of 9003660336 is 6330663009.

It is a super-3 number, since 3×9003660336³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 9003660336.

It is not an unprimeable number, because it can be changed into a prime (9003660331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 42671271 + ... + 42671481.

Almost surely, 2^9003660336 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 9003660336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14544624640).

9003660336 is an abundant number, since it is smaller than the sum of its proper divisors (20085588944).

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

9003660336 is a wasteful number, since it uses less digits than its factorization.

9003660336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 9003660336 is about 94887.6195085534. The cubic root of 9003660336 is about 2080.3657776351.

The spelling of 9003660336 in words is "nine billion, three million, six hundred sixty thousand, three hundred thirty-six".