3686667000200 has 48 divisors (see below), whose sum is σ = 8699433654480. Its totient is φ = 1452656842560.

The previous prime is 3686667000199. The next prime is 3686667000209. The reversal of 3686667000200 is 20007666863.

3686667000200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3686667000200³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3686667000209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137548802 + ... + 137575601.

It is an arithmetic number, because the mean of its divisors is an integer number (181238201135).

Almost surely, 2^{3686667000200} is an apocalyptic number.

It is an amenable number.

3686667000200 is an abundant number, since it is smaller than the sum of its proper divisors (5012766654280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3686667000200 is a wasteful number, since it uses less digits than its factorization.

3686667000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275124486 (or 275124477 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 3686667000200 in words is "three trillion, six hundred eighty-six billion, six hundred sixty-seven million, two hundred", and thus it is an aban number.