3218837868544 has 195 divisors, whose sum is σ = 6910424687217. Its totient is φ = 1499131281408.

The previous prime is 3218837868539. The next prime is 3218837868599. The reversal of 3218837868544 is 4458687388123.

The square root of 3218837868544 is 1794112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 190235545600 + 3028602322944 = 436160^2 + 1740288^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3218837868544.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 33183895504 + ... + 33183895600.

Almost surely, 2^{3218837868544} is an apocalyptic number.

3218837868544 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

3218837868544 is the 1794112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3218837868544

3218837868544 is an abundant number, since it is smaller than the sum of its proper divisors (3691586818673).

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

3218837868544 is an frugal number, since it uses more digits than its factorization.

3218837868544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 116 counting only the distinct ones).

The product of its digits is 247726080, while the sum is 67.

The spelling of 3218837868544 in words is "three trillion, two hundred eighteen billion, eight hundred thirty-seven million, eight hundred sixty-eight thousand, five hundred forty-four".