3168 has 36 divisors (see below), whose sum is σ = 9828. Its totient is φ = 960.

The previous prime is 3167. The next prime is 3169. The reversal of 3168 is 8613.

Added to its reverse (8613) it gives a triangular number (11781 = T_{153}).

It is an interprime number because it is at equal distance from previous prime (3167) and next prime (3169).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is one of the 548 Lynch-Bell numbers.

Its product of digits (144) is a multiple of the sum of its prime divisors (16).

It is a plaindrome in base 13 and base 14.

It is a nialpdrome in base 9 and base 16.

It is a zygodrome in base 2.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283 + ... + 293.

It is an arithmetic number, because the mean of its divisors is an integer number (273).

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4914).

3168 is an abundant number, since it is smaller than the sum of its proper divisors (6660).

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

3168 is a wasteful number, since it uses less digits than its factorization.

3168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27 (or 16 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3168 is about 56.2849891179. The cubic root of 3168 is about 14.6868409241.

3168 divided by its product of digits (144) gives a palindrome (22).

Adding to 3168 its reverse (8613), we get a triangular number (11781 = T_{153}).

Subtracting 3168 from its reverse (8613), we obtain a palindrome (5445).

It can be divided in two parts, 316 and 8, that added together give a square (324 = 18^{2}).

The spelling of 3168 in words is "three thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168

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