3585580680 has 64 divisors (see below), whose sum is σ = 11734632000. Its totient is φ = 869231360.

The previous prime is 3585580679. The next prime is 3585580711. The reversal of 3585580680 is 860855853.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1356855 + ... + 1359494.

It is an arithmetic number, because the mean of its divisors is an integer number (183353625).

Almost surely, 2^3585580680 is an apocalyptic number.

3585580680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3585580680 is an abundant number, since it is smaller than the sum of its proper divisors (8149051320).

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

3585580680 is a wasteful number, since it uses less digits than its factorization.

3585580680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716374 (or 2716370 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The square root of 3585580680 is about 59879.7184362118. The cubic root of 3585580680 is about 1530.5698932152.

The spelling of 3585580680 in words is "three billion, five hundred eighty-five million, five hundred eighty thousand, six hundred eighty".