3327921552384 has 1320 divisors, whose sum is σ = 12286186688160. Its totient is φ = 889610895360.

The previous prime is 3327921552379. The next prime is 3327921552421. The reversal of 3327921552384 is 4832551297233.

3327921552384 is a `hidden beast` number, since 3 + 3 + 2 + 7 + 9 + 2 + 1 + 552 + 3 + 84 = 666.

It is a super-2 number, since 2×3327921552384² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3327921552384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3000830422 + ... + 3000831530.

It is an arithmetic number, because the mean of its divisors is an integer number (9307717188).

Almost surely, 2^{3327921552384} 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 3327921552384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6143093344080).

3327921552384 is an abundant number, since it is smaller than the sum of its proper divisors (8958265135776).

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

3327921552384 is a wasteful number, since it uses less digits than its factorization.

3327921552384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1161 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The spelling of 3327921552384 in words is "three trillion, three hundred twenty-seven billion, nine hundred twenty-one million, five hundred fifty-two thousand, three hundred eighty-four".