3443949312640 has 256 divisors, whose sum is σ = 8523035136000. Its totient is φ = 1329920299008.

The previous prime is 3443949312623. The next prime is 3443949312667. The reversal of 3443949312640 is 462139493443.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914240037 + ... + 914243803.

It is an arithmetic number, because the mean of its divisors is an integer number (33293106000).

Almost surely, 2^{3443949312640} 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 3443949312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261517568000).

3443949312640 is an abundant number, since it is smaller than the sum of its proper divisors (5079085823360).

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

3443949312640 is a wasteful number, since it uses less digits than its factorization.

3443949312640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4207 (or 4195 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 52.

The spelling of 3443949312640 in words is "three trillion, four hundred forty-three billion, nine hundred forty-nine million, three hundred twelve thousand, six hundred forty".