346828515824 has 120 divisors (see below), whose sum is σ = 824846626080. Its totient is φ = 140579991552.

The previous prime is 346828515823. The next prime is 346828515829. The reversal of 346828515824 is 428515828643.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 346828515824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346828515823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1496792 + ... + 1712904.

It is an arithmetic number, because the mean of its divisors is an integer number (6873721884).

Almost surely, 2^346828515824 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 346828515824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412423313040).

346828515824 is an abundant number, since it is smaller than the sum of its proper divisors (478018110256).

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

346828515824 is a wasteful number, since it uses less digits than its factorization.

346828515824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216247 (or 216234 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 56.

The spelling of 346828515824 in words is "three hundred forty-six billion, eight hundred twenty-eight million, five hundred fifteen thousand, eight hundred twenty-four".