347364 has 18 divisors (see below), whose sum is σ = 878150. Its totient is φ = 115776.

The previous prime is 347359. The next prime is 347401. The reversal of 347364 is 463743.

It can be written as a sum of positive squares in only one way, i.e., 230400 + 116964 = 480^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 347364.

It is an unprimeable number.

347364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4789 + ... + 4860.

2³⁴⁷³⁶⁴ is an apocalyptic number.

It is an amenable number.

347364 is an abundant number, since it is smaller than the sum of its proper divisors (530786).

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

347364 is a wasteful number, since it uses less digits than its factorization.

347364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9659 (or 9654 counting only the distinct ones).

The product of its digits is 6048, while the sum is 27.

The square root of 347364 is about 589.3759411445. The cubic root of 347364 is about 70.2956205408.

The spelling of 347364 in words is "three hundred forty-seven thousand, three hundred sixty-four".