3444505334864 has 20 divisors (see below), whose sum is σ = 7280431730880. Its totient is φ = 1565684243040.

The previous prime is 3444505334863. The next prime is 3444505334989. The reversal of 3444505334864 is 4684335054443.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444505334863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9785526344 + ... + 9785526695.

It is an arithmetic number, because the mean of its divisors is an integer number (364021586544).

Almost surely, 2^{3444505334864} is an apocalyptic number.

It is an amenable number.

3444505334864 is an abundant number, since it is smaller than the sum of its proper divisors (3835926396016).

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

3444505334864 is a wasteful number, since it uses less digits than its factorization.

3444505334864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19571053058 (or 19571053052 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 53.

The spelling of 3444505334864 in words is "three trillion, four hundred forty-four billion, five hundred five million, three hundred thirty-four thousand, eight hundred sixty-four".