3656080675584 has 864 divisors, whose sum is σ = 11969491322880. Its totient is φ = 1108349485056.

The previous prime is 3656080675573. The next prime is 3656080675619. The reversal of 3656080675584 is 4855760806563.

3656080675584 is a `hidden beast` number, since 3 + 6 + 560 + 8 + 0 + 67 + 5 + 5 + 8 + 4 = 666.

3656080675584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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, 8725729327 + ... + 8725729745.

It is an arithmetic number, because the mean of its divisors is an integer number (13853577920).

Almost surely, 2^{3656080675584} is an apocalyptic number.

3656080675584 is a gapful number since it is divisible by the number (34) 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 3656080675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984745661440).

3656080675584 is an abundant number, since it is smaller than the sum of its proper divisors (8313410647296).

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

3656080675584 is a wasteful number, since it uses less digits than its factorization.

3656080675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 145152000, while the sum is 63.

The spelling of 3656080675584 in words is "three trillion, six hundred fifty-six billion, eighty million, six hundred seventy-five thousand, five hundred eighty-four".