3288074048864 has 48 divisors (see below), whose sum is σ = 7062434925840. Its totient is φ = 1494463004160.

The previous prime is 3288074048863. The next prime is 3288074048869. The reversal of 3288074048864 is 4688404708823.

3288074048864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3288074048864² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3288074048797 and 3288074048806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3288074048863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4258082 + ... + 4970654.

It is an arithmetic number, because the mean of its divisors is an integer number (147134060955).

Almost surely, 2^{3288074048864} is an apocalyptic number.

It is an amenable number.

3288074048864 is an abundant number, since it is smaller than the sum of its proper divisors (3774360876976).

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

3288074048864 is a wasteful number, since it uses less digits than its factorization.

3288074048864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725703 (or 725695 counting only the distinct ones).

The product of its (nonzero) digits is 66060288, while the sum is 62.

The spelling of 3288074048864 in words is "three trillion, two hundred eighty-eight billion, seventy-four million, forty-eight thousand, eight hundred sixty-four".