3686585873 has 2 divisors, whose sum is σ = 3686585874. Its totient is φ = 3686585872.

The previous prime is 3686585867. The next prime is 3686585893. The reversal of 3686585873 is 3785856863.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2540966464 + 1145619409 = 50408^2 + 33847^2 .

It is a cyclic number.

It is not a de Polignac number, because 3686585873 - 2²² = 3682391569 is a prime.

It is a super-3 number, since 3×3686585873³ (a number of 30 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (3686585893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1843292936 + 1843292937.

It is an arithmetic number, because the mean of its divisors is an integer number (1843292937).

Almost surely, 2^3686585873 is an apocalyptic number.

It is an amenable number.

3686585873 is a deficient number, since it is larger than the sum of its proper divisors (1).

3686585873 is an equidigital number, since it uses as much as digits as its factorization.

3686585873 is an evil number, because the sum of its binary digits is even.

The product of its digits is 29030400, while the sum is 59.

The square root of 3686585873 is about 60717.2617383228. The cubic root of 3686585873 is about 1544.8089782441.

The spelling of 3686585873 in words is "three billion, six hundred eighty-six million, five hundred eighty-five thousand, eight hundred seventy-three".