347405344 has 144 divisors (see below), whose sum is σ = 840792960. Its totient is φ = 139276800.

The previous prime is 347405339. The next prime is 347405369. The reversal of 347405344 is 443504743.

347405344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4397497 + ... + 4397575.

It is an arithmetic number, because the mean of its divisors is an integer number (5838840).

Almost surely, 2^347405344 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 347405344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420396480).

347405344 is an abundant number, since it is smaller than the sum of its proper divisors (493387616).

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

347405344 is a wasteful number, since it uses less digits than its factorization.

347405344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 34.

The square root of 347405344 is about 18638.8128377319. The cubic root of 347405344 is about 702.9840934142.

The spelling of 347405344 in words is "three hundred forty-seven million, four hundred five thousand, three hundred forty-four".