346985874816 has 768 divisors, whose sum is σ = 1178800128000. Its totient is φ = 89820057600.

The previous prime is 346985874793. The next prime is 346985874827. The reversal of 346985874816 is 618478589643.

Its product of digits (278691840) is a multiple of the sum of its prime divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1451823625 + ... + 1451823863.

It is an arithmetic number, because the mean of its divisors is an integer number (1534896000).

Almost surely, 2^346985874816 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 346985874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589400064000).

346985874816 is an abundant number, since it is smaller than the sum of its proper divisors (831814253184).

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

346985874816 is a wasteful number, since it uses less digits than its factorization.

346985874816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 432 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 69.

The spelling of 346985874816 in words is "three hundred forty-six billion, nine hundred eighty-five million, eight hundred seventy-four thousand, eight hundred sixteen".