3586880 has 56 divisors (see below), whose sum is σ = 9326880. Its totient is φ = 1303040.

The previous prime is 3586879. The next prime is 3586883. The reversal of 3586880 is 886853.

It is a happy number.

3586880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3586883) 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 7 ways as a sum of consecutive naturals, for example, 3011 + ... + 4029.

Almost surely, 2^3586880 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 3586880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4663440).

3586880 is an abundant number, since it is smaller than the sum of its proper divisors (5740000).

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

3586880 is a wasteful number, since it uses less digits than its factorization.

3586880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 3586880 is about 1893.9060166756. The cubic root of 3586880 is about 153.0754750293.

The spelling of 3586880 in words is "three million, five hundred eighty-six thousand, eight hundred eighty".