3268897311584 has 48 divisors (see below), whose sum is σ = 6827865030000. Its totient is φ = 1535221714944.

The previous prime is 3268897311577. The next prime is 3268897311649. The reversal of 3268897311584 is 4851137988623.

3268897311584 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 2×3268897311584² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3268897311584.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5749589 + ... + 6292500.

It is an arithmetic number, because the mean of its divisors is an integer number (142247188125).

Almost surely, 2^{3268897311584} is an apocalyptic number.

3268897311584 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3268897311584 is an abundant number, since it is smaller than the sum of its proper divisors (3558967718416).

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

3268897311584 is a wasteful number, since it uses less digits than its factorization.

3268897311584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12042615 (or 12042607 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 65.

The spelling of 3268897311584 in words is "three trillion, two hundred sixty-eight billion, eight hundred ninety-seven million, three hundred eleven thousand, five hundred eighty-four".