3379342106080 has 192 divisors, whose sum is σ = 8326963814400. Its totient is φ = 1294593269760.

The previous prime is 3379342105999. The next prime is 3379342106183. The reversal of 3379342106080 is 806012439733.

It is a super-2 number, since 2×3379342106080² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3379342106080.

It is a congruent number.

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, 193217976 + ... + 193235464.

It is an arithmetic number, because the mean of its divisors is an integer number (43369603200).

Almost surely, 2^{3379342106080} 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 3379342106080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163481907200).

3379342106080 is an abundant number, since it is smaller than the sum of its proper divisors (4947621708320).

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

3379342106080 is a wasteful number, since it uses less digits than its factorization.

3379342106080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17937 (or 17929 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 3379342106080 in words is "three trillion, three hundred seventy-nine billion, three hundred forty-two million, one hundred six thousand, eighty".