3264422563584 has 2304 divisors, whose sum is σ = 13291742822400. Its totient is φ = 766402560000.

The previous prime is 3264422563513. The next prime is 3264422563643. The reversal of 3264422563584 is 4853652244623.

3264422563584 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 4 + 2 + 2 + 56 + 3 + 584 = 666.

3264422563584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2304).

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 3264422563584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13005667459 + ... + 13005667709.

It is an arithmetic number, because the mean of its divisors is an integer number (5768985600).

Almost surely, 2^{3264422563584} 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 3264422563584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6645871411200).

3264422563584 is an abundant number, since it is smaller than the sum of its proper divisors (10027320258816).

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

3264422563584 is a wasteful number, since it uses less digits than its factorization.

3264422563584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 3264422563584 in words is "three trillion, two hundred sixty-four billion, four hundred twenty-two million, five hundred sixty-three thousand, five hundred eighty-four".