3296 has 12 divisors (see below), whose sum is σ = 6552. Its totient is φ = 1632.

The previous prime is 3271. The next prime is 3299. The reversal of 3296 is 6923.

It is a happy number.

3296 is nontrivially palindromic in base 6.

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

3296 is a modest number, since divided by 96 gives 32 as remainder.

It is a plaindrome in base 13.

It is a zygodrome in base 2.

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 3296.

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

3296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20 + ... + 83.

It is an arithmetic number, because the mean of its divisors is an integer number (546).

2³²⁹⁶ is an apocalyptic number.

It is an amenable number.

3296 is a deficient number, since it is larger than the sum of its proper divisors (3256).

3296 is a wasteful number, since it uses less digits than its factorization.

3296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 105 counting only the distinct ones).

The product of its digits is 324, while the sum is 20.

The square root of 3296 is about 57.4108003776. The cubic root of 3296 is about 14.8820377215.

It can be divided in two parts, 32 and 96, that added together give a 7-th power (128 = 2⁷).

The spelling of 3296 in words is "three thousand, two hundred ninety-six".