3686229106560 has 5184 divisors, whose sum is σ = 19303032097440. Its totient is φ = 640712540160.

The previous prime is 3686229106559. The next prime is 3686229106577. The reversal of 3686229106560 is 656019226863.

3686229106560 is a `hidden beast` number, since 3 + 6 + 8 + 62 + 2 + 9 + 10 + 6 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3686229106497 and 3686229106506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 160270830709 + ... + 160270830731.

Almost surely, 2^{3686229106560} is an apocalyptic number.

3686229106560 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 3686229106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9651516048720).

3686229106560 is an abundant number, since it is smaller than the sum of its proper divisors (15616802990880).

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

3686229106560 is a wasteful number, since it uses less digits than its factorization.

3686229106560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3686229106560 in words is "three trillion, six hundred eighty-six billion, two hundred twenty-nine million, one hundred six thousand, five hundred sixty".