3147008588361 has 135 divisors (see below), whose sum is σ = 5221113174615. Its totient is φ = 1896740485200.

The previous prime is 3147008588359. The next prime is 3147008588377. The reversal of 3147008588361 is 1638858007413.

It is a happy number.

The square root of 3147008588361 is 1773981.

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

3147008588361 is a `hidden beast` number, since 31 + 470 + 0 + 8 + 5 + 8 + 83 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34677515961 + 3112331072400 = 186219^2 + 1764180^2 .

It is not a de Polignac number, because 3147008588361 - 2¹ = 3147008588359 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3147008588298 and 3147008588307.

It is not an unprimeable number, because it can be changed into a prime (3147008588351) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 17386787691 + ... + 17386787871.

Almost surely, 2^{3147008588361} is an apocalyptic number.

3147008588361 is the 1773981-st square number.

3147008588361 is the 886991-st centered octagonal number.

It is an amenable number.

3147008588361 is a deficient number, since it is larger than the sum of its proper divisors (2074104586254).

3147008588361 is an frugal number, since it uses more digits than its factorization.

3147008588361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 3147008588361 in words is "three trillion, one hundred forty-seven billion, eight million, five hundred eighty-eight thousand, three hundred sixty-one".