3288 has 16 divisors (see below), whose sum is σ = 8280. Its totient is φ = 1088.

The previous prime is 3271. The next prime is 3299. The reversal of 3288 is 8823.

3288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

3288 is a modest number, since divided by 88 gives 32 as remainder.

It is a plaindrome in base 14.

It is a nialpdrome in base 8 and base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 3288.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45 + ... + 92.

2^{3288} is an apocalyptic number.

It is an amenable number.

3288 is an abundant number, since it is smaller than the sum of its proper divisors (4992).

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 (4140).

3288 is a wasteful number, since it uses less digits than its factorization.

3288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 3288 is about 57.3410847473. The cubic root of 3288 is about 14.8699874832.

It can be divided in two parts, 32 and 88, that added together give a triangular number (120 = T_{15}).

The spelling of 3288 in words is "three thousand, two hundred eighty-eight".

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