3516 has 12 divisors (see below), whose sum is σ = 8232. Its totient is φ = 1168.

The previous prime is 3511. The next prime is 3517. The reversal of 3516 is 6153.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 3495 and 3504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3511) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 135 + ... + 158.

It is an arithmetic number, because the mean of its divisors is an integer number (686).

2³⁵¹⁶ is an apocalyptic number.

3516 is the 38-th centered pentagonal number.

It is an amenable number.

3516 is an abundant number, since it is smaller than the sum of its proper divisors (4716).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4116).

3516 is a wasteful number, since it uses less digits than its factorization.

3516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its digits is 90, while the sum is 15.

The square root of 3516 is about 59.2958683215. The cubic root of 3516 is about 15.2060456099.

Adding to 3516 its reverse (6153), we get a palindrome (9669).

The spelling of 3516 in words is "three thousand, five hundred sixteen".