3444305034304 has 28 divisors (see below), whose sum is σ = 6834968715100. Its totient is φ = 1722108192768.

The previous prime is 3444305034271. The next prime is 3444305034329. The reversal of 3444305034304 is 4034305034443.

It can be written as a sum of positive squares in 2 ways, for example, as 3359302465600 + 85002568704 = 1832840^2 + 291552^2 .

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 3 ways as a sum of consecutive naturals, for example, 1888012 + ... + 3233140.

Almost surely, 2^{3444305034304} is an apocalyptic number.

It is an amenable number.

3444305034304 is a deficient number, since it is larger than the sum of its proper divisors (3390663680796).

3444305034304 is a wasteful number, since it uses less digits than its factorization.

3444305034304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385150 (or 1385140 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 37.

The spelling of 3444305034304 in words is "three trillion, four hundred forty-four billion, three hundred five million, thirty-four thousand, three hundred four".