3524 has 6 divisors (see below), whose sum is σ = 6174. Its totient is φ = 1760.

The previous prime is 3517. The next prime is 3527. The reversal of 3524 is 4253.

3524 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2500 + 1024 = 50^2 + 32^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 3499 and 3508.

It is not an unprimeable number, because it can be changed into a prime (3527) by changing a digit.

3524 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 as a sum of consecutive naturals, namely, 437 + ... + 444.

It is an arithmetic number, because the mean of its divisors is an integer number (1029).

2³⁵²⁴ is an apocalyptic number.

It is an amenable number.

3524 is a deficient number, since it is larger than the sum of its proper divisors (2650).

3524 is a wasteful number, since it uses less digits than its factorization.

3524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 883 counting only the distinct ones).

The product of its digits is 120, while the sum is 14.

The square root of 3524 is about 59.3632883186. The cubic root of 3524 is about 15.2175697110.

Adding to 3524 its reverse (4253), we get a palindrome (7777).

Subtracting 3524 from its reverse (4253), we obtain a 6-th power (729 = 3⁶).

The spelling of 3524 in words is "three thousand, five hundred twenty-four".