3413859768120 has 64 divisors (see below), whose sum is σ = 10298794896000. Its totient is φ = 905276774528.

The previous prime is 3413859768097. The next prime is 3413859768167. The reversal of 3413859768120 is 218679583143.

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, 79444530 + ... + 79487489.

It is an arithmetic number, because the mean of its divisors is an integer number (160918670250).

It is a 2-persistent number, because it is pandigital, and so is 2⋅3413859768120 = 6827719536240, but 3⋅3413859768120 = 10241579304360 is not.

Almost surely, 2^{3413859768120} is an apocalyptic number.

3413859768120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3413859768120 is an abundant number, since it is smaller than the sum of its proper divisors (6884935127880).

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

3413859768120 is a wasteful number, since it uses less digits than its factorization.

3413859768120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158932212 (or 158932208 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 57.

The spelling of 3413859768120 in words is "three trillion, four hundred thirteen billion, eight hundred fifty-nine million, seven hundred sixty-eight thousand, one hundred twenty".