3540 has 24 divisors (see below), whose sum is σ = 10080. Its totient is φ = 928.

The previous prime is 3539. The next prime is 3541. The reversal of 3540 is 453.

It is an interprime number because it is at equal distance from previous prime (3539) and next prime (3541).

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31 + ... + 89.

It is an arithmetic number, because the mean of its divisors is an integer number (420).

2³⁵⁴⁰ is an apocalyptic number.

3540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a pronic number, being equal to 59×60.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5040).

3540 is an abundant number, since it is smaller than the sum of its proper divisors (6540).

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

3540 is a wasteful number, since it uses less digits than its factorization.

3540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 69 counting only the distinct ones).

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

The square root of 3540 is about 59.4978991226. The cubic root of 3540 is about 15.2405656957.

Adding to 3540 its product of nonzero digits (60), we get a square (3600 = 60²).

Adding to 3540 its reverse (453), we get a palindrome (3993).

The spelling of 3540 in words is "three thousand, five hundred forty".