347405968 has 80 divisors (see below), whose sum is σ = 832446720. Its totient is φ = 136770048.

The previous prime is 347405959. The next prime is 347405969. The reversal of 347405968 is 869504743.

It is not an unprimeable number, because it can be changed into a prime (347405969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391221 + ... + 392107.

It is an arithmetic number, because the mean of its divisors is an integer number (10405584).

Almost surely, 2^347405968 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 347405968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416223360).

347405968 is an abundant number, since it is smaller than the sum of its proper divisors (485040752).

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

347405968 is a wasteful number, since it uses less digits than its factorization.

347405968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 347405968 is about 18638.8295769879. The cubic root of 347405968 is about 702.9845143075.

The spelling of 347405968 in words is "three hundred forty-seven million, four hundred five thousand, nine hundred sixty-eight".