3313428332544 has 800 divisors, whose sum is σ = 11126655817200. Its totient is φ = 973917388800.

The previous prime is 3313428332537. The next prime is 3313428332581. The reversal of 3313428332544 is 4452338243133.

3313428332544 is a `hidden beast` number, since 3 + 3 + 1 + 3 + 4 + 283 + 325 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3313428332544.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19152764842 + ... + 19152765014.

Almost surely, 2^{3313428332544} 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 3313428332544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5563327908600).

3313428332544 is an abundant number, since it is smaller than the sum of its proper divisors (7813227484656).

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

3313428332544 is an frugal number, since it uses more digits than its factorization.

3313428332544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 230 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 45.

The spelling of 3313428332544 in words is "three trillion, three hundred thirteen billion, four hundred twenty-eight million, three hundred thirty-two thousand, five hundred forty-four".