3444147560256 has 224 divisors, whose sum is σ = 10411476418560. Its totient is φ = 996055087104.

The previous prime is 3444147560239. The next prime is 3444147560261. The reversal of 3444147560256 is 6520657414443.

It is a junction number, because it is equal to n+sod(n) for n = 3444147560199 and 3444147560208.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 5736925 + ... + 6308771.

It is an arithmetic number, because the mean of its divisors is an integer number (46479805440).

Almost surely, 2^{3444147560256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444147560256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205738209280).

3444147560256 is an abundant number, since it is smaller than the sum of its proper divisors (6967328858304).

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

3444147560256 is a wasteful number, since it uses less digits than its factorization.

3444147560256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572021 (or 572011 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 51.

The spelling of 3444147560256 in words is "three trillion, four hundred forty-four billion, one hundred forty-seven million, five hundred sixty thousand, two hundred fifty-six".