3686838686820 has 288 divisors, whose sum is σ = 11600176573440. Its totient is φ = 946835619840.

The previous prime is 3686838686803. The next prime is 3686838686831. The reversal of 3686838686820 is 286868386863.

3686838686820 is a `hidden beast` number, since 36 + 8 + 68 + 386 + 86 + 82 + 0 = 666.

3686838686820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2225007432 + ... + 2225009088.

It is an arithmetic number, because the mean of its divisors is an integer number (40278390880).

Almost surely, 2^{3686838686820} is an apocalyptic number.

3686838686820 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 3686838686820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800088286720).

3686838686820 is an abundant number, since it is smaller than the sum of its proper divisors (7913337886620).

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

3686838686820 is a wasteful number, since it uses less digits than its factorization.

3686838686820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3395 (or 3390 counting only the distinct ones).

The product of its (nonzero) digits is 764411904, while the sum is 72.

The spelling of 3686838686820 in words is "three trillion, six hundred eighty-six billion, eight hundred thirty-eight million, six hundred eighty-six thousand, eight hundred twenty".