3276 has 36 divisors (see below), whose sum is σ = 10192. Its totient is φ = 864.

The previous prime is 3271. The next prime is 3299. The reversal of 3276 is 6723.

Adding to 3276 its reverse (6723), we get a palindrome (9999).

It can be divided in two parts, 327 and 6, that added together give a palindrome (333).

3276 = T_{1} + T_{2} + ... +
T_{26}.

3276 is nontrivially palindromic in base 5 and base 16.

3276 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3276 is a nontrivial binomial coefficient, being equal to C(28, 3).

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

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 an alternating number because its digits alternate between odd and even.

It is one of the 548 Lynch-Bell numbers.

3276 is an undulating number in base 4.

3276 is a nontrivial repdigit in base 16.

It is a plaindrome in base 16.

It is a nialpdrome in base 3, base 9, base 15 and base 16.

It is a zygodrome in base 2, base 3 and base 16.

It is not an unprimeable number, because it can be changed into a prime (3271) by changing a digit.

3276 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is the 26-th tetrahedral number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 246 + ... + 258.

2^{3276} is an apocalyptic number.

3276 is a gapful number since it is divisible by the number (36) 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 3276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5096).

3276 is an abundant number, since it is smaller than the sum of its proper divisors (6916).

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

3276 is a wasteful number, since it uses less digits than its factorization.

3276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30 (or 25 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 3276 is about 57.2363520850. The cubic root of 3276 is about 14.8518754221.

The spelling of 3276 in words is "three thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276

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