349517637518868 has 384 divisors, whose sum is σ = 1175702872780800. Its totient is φ = 87199846396416.

The previous prime is 349517637518851. The next prime is 349517637518971. The reversal of 349517637518868 is 868815736715943.

349517637518868 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 1 + 7 + 6 + 37 + 518 + 8 + 68 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 125035171 + ... + 127799957.

It is an arithmetic number, because the mean of its divisors is an integer number (3061726231200).

Almost surely, 2^{349517637518868} is an apocalyptic number.

349517637518868 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349517637518868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587851436390400).

349517637518868 is an abundant number, since it is smaller than the sum of its proper divisors (826185235261932).

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

349517637518868 is a wasteful number, since it uses less digits than its factorization.

349517637518868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765516 (or 2765508 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 81.

The spelling of 349517637518868 in words is "three hundred forty-nine trillion, five hundred seventeen billion, six hundred thirty-seven million, five hundred eighteen thousand, eight hundred sixty-eight".