3443949474960 has 40 divisors (see below), whose sum is σ = 10676243373120. Its totient is φ = 918386526592.

The previous prime is 3443949474919. The next prime is 3443949474989. The reversal of 3443949474960 is 694749493443.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 3443949474891 and 3443949474900.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7174894500 + ... + 7174894979.

It is an arithmetic number, because the mean of its divisors is an integer number (266906084328).

Almost surely, 2^{3443949474960} is an apocalyptic number.

3443949474960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3443949474960 is an abundant number, since it is smaller than the sum of its proper divisors (7232293898160).

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

3443949474960 is a wasteful number, since it uses less digits than its factorization.

3443949474960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14349789495 (or 14349789489 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 66.

The spelling of 3443949474960 in words is "three trillion, four hundred forty-three billion, nine hundred forty-nine million, four hundred seventy-four thousand, nine hundred sixty".