347841627961 has 9 divisors (see below), whose sum is σ = 369517155501. Its totient is φ = 327370919232.

The previous prime is 347841627929. The next prime is 347841627977. The reversal of 347841627961 is 169726148743.

It is a happy number.

The square root of 347841627961 is 589781.

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

It can be written as a sum of positive squares in 4 ways, for example, as 65136737961 + 282704890000 = 255219^2 + 531700^2 .

It is not a de Polignac number, because 347841627961 - 2⁵ = 347841627929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 347841627896 and 347841627905.

It is not an unprimeable number, because it can be changed into a prime (347841627361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10008931 + ... + 10043623.

Almost surely, 2^347841627961 is an apocalyptic number.

347841627961 is the 589781-st square number.

347841627961 is the 294891-st centered octagonal number.

It is an amenable number.

347841627961 is a deficient number, since it is larger than the sum of its proper divisors (21675527540).

347841627961 is an frugal number, since it uses more digits than its factorization.

347841627961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69420 (or 34710 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 58.

The spelling of 347841627961 in words is "three hundred forty-seven billion, eight hundred forty-one million, six hundred twenty-seven thousand, nine hundred sixty-one".