3580 has 12 divisors (see below), whose sum is σ = 7560. Its totient is φ = 1424.

The previous prime is 3571. The next prime is 3581. The reversal of 3580 is 853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3581) by changing a digit.

3580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70 + ... + 109.

It is an arithmetic number, because the mean of its divisors is an integer number (630).

2³⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

3580 is an abundant number, since it is smaller than the sum of its proper divisors (3980).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780).

3580 is a wasteful number, since it uses less digits than its factorization.

3580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 3580 is about 59.8331012066. The cubic root of 3580 is about 15.2977540953.

The spelling of 3580 in words is "three thousand, five hundred eighty".