3504 has 20 divisors (see below), whose sum is σ = 9176. Its totient is φ = 1152.

The previous prime is 3499. The next prime is 3511. The reversal of 3504 is 4053.

3504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 3504.

It is a congruent number.

It is an unprimeable number.

3504 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, 12 + ... + 84.

2³⁵⁰⁴ is an apocalyptic number.

3504 is the 32-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4588).

3504 is an abundant number, since it is smaller than the sum of its proper divisors (5672).

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

3504 is a wasteful number, since it uses less digits than its factorization.

3504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 3504 is about 59.1945943478. The cubic root of 3504 is about 15.1887266363.

3504 divided by its sum of digits (12) gives a palindrome (292).

Adding to 3504 its reverse (4053), we get a palindrome (7557).

The spelling of 3504 in words is "three thousand, five hundred four".