347006061065664 has 2688 divisors, whose sum is σ = 1404491433246720. Its totient is φ = 79009136640000.

The previous prime is 347006061065641. The next prime is 347006061065701. The reversal of 347006061065664 is 466560160600743.

347006061065664 is a `hidden beast` number, since 3 + 4 + 7 + 0 + 0 + 60 + 6 + 10 + 6 + 566 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 347006061065664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 343910862792 + ... + 343910863800.

It is an arithmetic number, because the mean of its divisors is an integer number (522504253440).

Almost surely, 2^{347006061065664} 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 347006061065664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702245716623360).

347006061065664 is an abundant number, since it is smaller than the sum of its proper divisors (1057485372181056).

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

347006061065664 is a wasteful number, since it uses less digits than its factorization.

347006061065664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 347006061065664 in words is "three hundred forty-seven trillion, six billion, sixty-one million, sixty-five thousand, six hundred sixty-four".