346860672768 has 252 divisors, whose sum is σ = 1083221847120. Its totient is φ = 110591889408.

The previous prime is 346860672709. The next prime is 346860672803. The reversal of 346860672768 is 867276068643.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4251948 + ... + 4332756.

Almost surely, 2^346860672768 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 346860672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541610923560).

346860672768 is an abundant number, since it is smaller than the sum of its proper divisors (736361174352).

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

346860672768 is an frugal number, since it uses more digits than its factorization.

346860672768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80866 (or 80837 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 346860672768 in words is "three hundred forty-six billion, eight hundred sixty million, six hundred seventy-two thousand, seven hundred sixty-eight".