3444805970072 has 32 divisors (see below), whose sum is σ = 6633795395520. Its totient is φ = 1675796901120.

The previous prime is 3444805970071. The next prime is 3444805970113. The reversal of 3444805970072 is 2700795084443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3444805969996 and 3444805970023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444805970071) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9786572 + ... + 10132452.

It is an arithmetic number, because the mean of its divisors is an integer number (207306106110).

Almost surely, 2^{3444805970072} is an apocalyptic number.

It is an amenable number.

3444805970072 is a deficient number, since it is larger than the sum of its proper divisors (3188989425448).

3444805970072 is a wasteful number, since it uses less digits than its factorization.

3444805970072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379571 (or 379567 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 53.

The spelling of 3444805970072 in words is "three trillion, four hundred forty-four billion, eight hundred five million, nine hundred seventy thousand, seventy-two".