3686287113300 has 144 divisors (see below), whose sum is σ = 11646669190464. Its totient is φ = 892769280000.

The previous prime is 3686287113269. The next prime is 3686287113329. The reversal of 3686287113300 is 33117826863.

It is a self number, because there is not a number n which added to its sum of digits gives 3686287113300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2822260 + ... + 3916340.

It is an arithmetic number, because the mean of its divisors is an integer number (80879647156).

Almost surely, 2^{3686287113300} is an apocalyptic number.

3686287113300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3686287113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823334595232).

3686287113300 is an abundant number, since it is smaller than the sum of its proper divisors (7960382077164).

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

3686287113300 is a wasteful number, since it uses less digits than its factorization.

3686287113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1095130 (or 1095123 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 3686287113300 in words is "three trillion, six hundred eighty-six billion, two hundred eighty-seven million, one hundred thirteen thousand, three hundred".