3676868300309 has 2 divisors, whose sum is σ = 3676868300310. Its totient is φ = 3676868300308.

The previous prime is 3676868300269. The next prime is 3676868300311. The reversal of 3676868300309 is 9030038686763.

3676868300309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3218238663025 + 458629637284 = 1793945^2 + 677222^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3676868300309 is a prime.

It is a super-3 number, since 3×3676868300309³ (a number of 39 digits) contains 333 as substring.

Together with 3676868300311, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3676868300909) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1838434150154 + 1838434150155.

It is an arithmetic number, because the mean of its divisors is an integer number (1838434150155).

Almost surely, 2^{3676868300309} is an apocalyptic number.

It is an amenable number.

3676868300309 is a deficient number, since it is larger than the sum of its proper divisors (1).

3676868300309 is an equidigital number, since it uses as much as digits as its factorization.

3676868300309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 23514624, while the sum is 59.

The spelling of 3676868300309 in words is "three trillion, six hundred seventy-six billion, eight hundred sixty-eight million, three hundred thousand, three hundred nine".