3126220044544 has 81 divisors (see below), whose sum is σ = 6351178438353. Its totient is φ = 1535796228096.

The previous prime is 3126220044523. The next prime is 3126220044589. The reversal of 3126220044544 is 4454400226213.

The square root of 3126220044544 is 1768112.

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

It can be written as a sum of positive squares in only one way, i.e., 82897926400 + 3043322118144 = 287920^2 + 1744512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1669096792 + ... + 1669098664.

Almost surely, 2^{3126220044544} is an apocalyptic number.

3126220044544 is the 1768112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126220044544

3126220044544 is an abundant number, since it is smaller than the sum of its proper divisors (3224958393809).

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

3126220044544 is an frugal number, since it uses more digits than its factorization.

3126220044544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3880 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

The spelling of 3126220044544 in words is "three trillion, one hundred twenty-six billion, two hundred twenty million, forty-four thousand, five hundred forty-four".