3264 has 28 divisors (see below), whose sum is σ = 9144. Its totient is φ = 1024.

The previous prime is 3259. The next prime is 3271. The reversal of 3264 is 4623.

It is a nude number because it is divisible by every one of its digits.

It is one of the 548 Lynch-Bell numbers.

It is a nialpdrome in base 8 and base 16.

It is a zygodrome in base 2.

It is an unprimeable number.

In principle, a polygon with 3264 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 184 + ... + 200.

3264 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572).

3264 is an abundant number, since it is smaller than the sum of its proper divisors (5880).

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

3264 is a wasteful number, since it uses less digits than its factorization.

3264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32 (or 22 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 3264 is about 57.1314274283. The cubic root of 3264 is about 14.8337190771.

Subtracting from 3264 its sum of digits (15), we obtain a square (3249 = 57^{2}).

Adding to 3264 its reverse (4623), we get a palindrome (7887).

It can be divided in two parts, 32 and 64, that multiplied together give a 11-th power (2048 = 2^{11}).

The spelling of 3264 in words is "three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264

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