346047878784 has 256 divisors, whose sum is σ = 956654899200. Its totient is φ = 110752911360.

The previous prime is 346047878747. The next prime is 346047878789. The reversal of 346047878784 is 487878740643.

It is not an unprimeable number, because it can be changed into a prime (346047878789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405682902 + ... + 405683754.

It is an arithmetic number, because the mean of its divisors is an integer number (3736933200).

Almost surely, 2^346047878784 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 346047878784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478327449600).

346047878784 is an abundant number, since it is smaller than the sum of its proper divisors (610607020416).

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

346047878784 is a wasteful number, since it uses less digits than its factorization.

346047878784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 202309632, while the sum is 66.

The spelling of 346047878784 in words is "three hundred forty-six billion, forty-seven million, eight hundred seventy-eight thousand, seven hundred eighty-four".