347820336603364 has 27 divisors (see below), whose sum is σ = 609097032876297. Its totient is φ = 173792692317024.

The previous prime is 347820336603293. The next prime is 347820336603403. The reversal of 347820336603364 is 463306633028743.

It is a happy number.

The square root of 347820336603364 is 18649942.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 137587504252900 + 210232832350464 = 11729770^2 + 14499408^2 .

It is a super-2 number, since 2×347820336603364² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 347820336603299 and 347820336603308.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88661822307 + ... + 88661826229.

Almost surely, 2^{347820336603364} is an apocalyptic number.

347820336603364 is the 18649942-nd square number.

It is an amenable number.

347820336603364 is a deficient number, since it is larger than the sum of its proper divisors (261276696272933).

347820336603364 is an frugal number, since it uses more digits than its factorization.

347820336603364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12604 (or 6302 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 58.

The spelling of 347820336603364 in words is "three hundred forty-seven trillion, eight hundred twenty billion, three hundred thirty-six million, six hundred three thousand, three hundred sixty-four".