346011418832 has 80 divisors (see below), whose sum is σ = 700476595200. Its totient is φ = 165387264000.

The previous prime is 346011418811. The next prime is 346011418891. The reversal of 346011418832 is 238814110643.

It is a self number, because there is not a number n which added to its sum of digits gives 346011418832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22485413 + ... + 22500795.

It is an arithmetic number, because the mean of its divisors is an integer number (8755957440).

Almost surely, 2^346011418832 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 346011418832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350238297600).

346011418832 is an abundant number, since it is smaller than the sum of its proper divisors (354465176368).

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

346011418832 is a wasteful number, since it uses less digits than its factorization.

346011418832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15972 (or 15966 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 346011418832 in words is "three hundred forty-six billion, eleven million, four hundred eighteen thousand, eight hundred thirty-two".