3681666800289 has 9 divisors (see below), whose sum is σ = 5317971470643. Its totient is φ = 2454440695992.

The previous prime is 3681666800269. The next prime is 3681666800333. The reversal of 3681666800289 is 9820086661863.

The square root of 3681666800289 is 1918767.

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., 2336669932689 + 1344996867600 = 1528617^2 + 1159740^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 3681666800289 - 2¹⁵ = 3681666767521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3681666800269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5436507 + ... + 6076095.

Almost surely, 2^{3681666800289} is an apocalyptic number.

3681666800289 is the 1918767-th square number.

3681666800289 is the 959384-th centered octagonal number.

It is an amenable number.

3681666800289 is a deficient number, since it is larger than the sum of its proper divisors (1636304670354).

3681666800289 is an frugal number, since it uses more digits than its factorization.

3681666800289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279184 (or 639592 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 3681666800289 in words is "three trillion, six hundred eighty-one billion, six hundred sixty-six million, eight hundred thousand, two hundred eighty-nine".