3584 has 20 divisors (see below), whose sum is σ = 8184. Its totient is φ = 1536.

The previous prime is 3583. The next prime is 3593. The reversal of 3584 is 4853.

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 509 + ... + 515.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4092).

3584 is an abundant number, since it is smaller than the sum of its proper divisors (4600).

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

3584 is an frugal number, since it uses more digits than its factorization.

3584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25 (or 9 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 3584 is about 59.8665181884. The cubic root of 3584 is about 15.3034494622.

The spelling of 3584 in words is "three thousand, five hundred eighty-four".