3456879910680 has 64 divisors (see below), whose sum is σ = 11852159696640. Its totient is φ = 790143979392.

The previous prime is 3456879910667. The next prime is 3456879910691. The reversal of 3456879910680 is 860199786543.

3456879910680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057665774 + ... + 2057667453.

It is an arithmetic number, because the mean of its divisors is an integer number (185189995260).

Almost surely, 2^{3456879910680} is an apocalyptic number.

3456879910680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3456879910680 is an abundant number, since it is smaller than the sum of its proper divisors (8395279785960).

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

3456879910680 is a wasteful number, since it uses less digits than its factorization.

3456879910680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4115333248 (or 4115333244 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 3456879910680 in words is "three trillion, four hundred fifty-six billion, eight hundred seventy-nine million, nine hundred ten thousand, six hundred eighty".