3686428753920 has 720 divisors, whose sum is σ = 14547843378432. Its totient is φ = 854780805120.

The previous prime is 3686428753919. The next prime is 3686428753963. The reversal of 3686428753920 is 293578246863.

It is a happy number.

3686428753920 is a `hidden beast` number, since 36 + 8 + 6 + 42 + 8 + 7 + 539 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186521959 + ... + 186541721.

Almost surely, 2^{3686428753920} is an apocalyptic number.

3686428753920 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 3686428753920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7273921689216).

3686428753920 is an abundant number, since it is smaller than the sum of its proper divisors (10861414624512).

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

3686428753920 is a wasteful number, since it uses less digits than its factorization.

3686428753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19836 (or 19807 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3686428753920 in words is "three trillion, six hundred eighty-six billion, four hundred twenty-eight million, seven hundred fifty-three thousand, nine hundred twenty".