3585680 has 80 divisors (see below), whose sum is σ = 10058880. Its totient is φ = 1161216.

The previous prime is 3585679. The next prime is 3585689. The reversal of 3585680 is 865853.

3585680 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3585680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3585689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10472 + ... + 10808.

It is an arithmetic number, because the mean of its divisors is an integer number (125736).

Almost surely, 2^3585680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3585680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029440).

3585680 is an abundant number, since it is smaller than the sum of its proper divisors (6473200).

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

3585680 is a wasteful number, since it uses less digits than its factorization.

3585680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 3585680 is about 1893.5891845910. The cubic root of 3585680 is about 153.0584025264.

The spelling of 3585680 in words is "three million, five hundred eighty-five thousand, six hundred eighty".