346580944128 has 360 divisors, whose sum is σ = 1072544763752. Its totient is φ = 111221932032.

The previous prime is 346580944067. The next prime is 346580944159. The reversal of 346580944128 is 821449085643.

346580944128 is a `hidden beast` number, since 3 + 4 + 6 + 580 + 9 + 44 + 12 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 47468208384 + 299112735744 = 217872^2 + 546912^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74419176 + ... + 74423832.

Almost surely, 2^346580944128 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 346580944128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536272381876).

346580944128 is an abundant number, since it is smaller than the sum of its proper divisors (725963819624).

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

346580944128 is an equidigital number, since it uses as much as digits as its factorization.

346580944128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 346580944128 in words is "three hundred forty-six billion, five hundred eighty million, nine hundred forty-four thousand, one hundred twenty-eight".