3298972852224 has 1008 divisors, whose sum is σ = 11877971728896. Its totient is φ = 911322316800.

The previous prime is 3298972852171. The next prime is 3298972852237. The reversal of 3298972852224 is 4222582798923.

It is a happy number.

3298972852224 is a `hidden beast` number, since 3 + 2 + 9 + 89 + 7 + 2 + 8 + 522 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (69672960) is a multiple of the sum of its prime divisors (1134).

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 71 ways as a sum of consecutive naturals, for example, 3023805919 + ... + 3023807009.

It is an arithmetic number, because the mean of its divisors is an integer number (11783702112).

Almost surely, 2^{3298972852224} 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 3298972852224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938985864448).

3298972852224 is an abundant number, since it is smaller than the sum of its proper divisors (8578998876672).

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

3298972852224 is an equidigital number, since it uses as much as digits as its factorization.

3298972852224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1134 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 3298972852224 in words is "three trillion, two hundred ninety-eight billion, nine hundred seventy-two million, eight hundred fifty-two thousand, two hundred twenty-four".