3297504000 has 432 divisors, whose sum is σ = 12759024096. Its totient is φ = 752640000.

The previous prime is 3297503983. The next prime is 3297504019. The reversal of 3297504000 is 4057923.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4703650 + ... + 4704350.

It is an arithmetic number, because the mean of its divisors is an integer number (29534778).

Almost surely, 2^3297504000 is an apocalyptic number.

3297504000 is a gapful number since it is divisible by the number (30) 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 3297504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6379512048).

3297504000 is an abundant number, since it is smaller than the sum of its proper divisors (9461520096).

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

3297504000 is an equidigital number, since it uses as much as digits as its factorization.

3297504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 3297504000 is about 57423.8974643832. The cubic root of 3297504000 is about 1488.4300988173.

The spelling of 3297504000 in words is "three billion, two hundred ninety-seven million, five hundred four thousand".