3686635505 has 32 divisors (see below), whose sum is σ = 5097565440. Its totient is φ = 2507270400.

The previous prime is 3686635451. The next prime is 3686635507. The reversal of 3686635505 is 5055366863.

It is not a de Polignac number, because 3686635505 - 2¹⁰ = 3686634481 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 3686635505.

It is not an unprimeable number, because it can be changed into a prime (3686635507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2540030 + ... + 2541480.

It is an arithmetic number, because the mean of its divisors is an integer number (159298920).

Almost surely, 2^3686635505 is an apocalyptic number.

3686635505 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3686635505 is a deficient number, since it is larger than the sum of its proper divisors (1410929935).

3686635505 is a wasteful number, since it uses less digits than its factorization.

3686635505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009.

The product of its (nonzero) digits is 1944000, while the sum is 47.

The square root of 3686635505 is about 60717.6704510310. The cubic root of 3686635505 is about 1544.8159107301.

The spelling of 3686635505 in words is "three billion, six hundred eighty-six million, six hundred thirty-five thousand, five hundred five".