3588 has 24 divisors (see below), whose sum is σ = 9408. Its totient is φ = 1056.

The previous prime is 3583. The next prime is 3593. The reversal of 3588 is 8853.

3588 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (3583) and next prime (3593).

It is a plaindrome in base 10 and base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 3588.

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

3588 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 7 ways as a sum of consecutive naturals, for example, 145 + ... + 167.

It is an arithmetic number, because the mean of its divisors is an integer number (392).

2³⁵⁸⁸ 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 3588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4704).

3588 is an abundant number, since it is smaller than the sum of its proper divisors (5820).

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

3588 is a wasteful number, since it uses less digits than its factorization.

3588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 41 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 3588 is about 59.8999165275. The cubic root of 3588 is about 15.3091405930.

Subtracting from 3588 its product of digits (960), we obtain a triangular number (2628 = T₇₂).

It can be divided in two parts, 3 and 588, that multiplied together give a square (1764 = 42²).

The spelling of 3588 in words is "three thousand, five hundred eighty-eight".