3294 has 16 divisors (see below), whose sum is σ = 7440. Its totient is φ = 1080.

The previous prime is 3271. The next prime is 3299. The reversal of 3294 is 4923.

3294 is nontrivially palindromic in base 8.

3294 is an esthetic number in base 16, because in such base its adjacent digits differ by 1.

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 d-powerful number, because it can be written as **3**^{7} + **9**^{2} + **2** + **4**^{5} .

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

3294 is an undulating number in base 11.

Its product of digits (216) is a multiple of the sum of its prime factors (72).

It is a plaindrome in base 16.

It is a nialpdrome in 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 3294.

It is not an unprimeable number, because it can be changed into a prime (3299) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24 + ... + 84.

It is an arithmetic number, because the mean of its divisors is an integer number (465).

2^{3294} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720).

3294 is an abundant number, since it is smaller than the sum of its proper divisors (4146).

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

3294 is a wasteful number, since it uses less digits than its factorization.

3294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 66 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 3294 is about 57.3933794091. The cubic root of 3294 is about 14.8790269915.

It can be divided in two parts, 329 and 4, that added together give a palindrome (333).

The spelling of 3294 in words is "three thousand, two hundred ninety-four".

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