3382 has 8 divisors (see below), whose sum is σ = 5400. Its totient is φ = 1584.

The previous prime is 3373. The next prime is 3389. The reversal of 3382 is 2833.

It is a happy number.

3382 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×3382² = 22875848, which contains 22 as substring.

It is a plaindrome in base 9 and base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 82.

It is an arithmetic number, because the mean of its divisors is an integer number (675).

2³³⁸² is an apocalyptic number.

3382 is a deficient number, since it is larger than the sum of its proper divisors (2018).

3382 is a wasteful number, since it uses less digits than its factorization.

3382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110.

The product of its digits is 144, while the sum is 16.

The square root of 3382 is about 58.1549653942. The cubic root of 3382 is about 15.0103632090.

It can be divided in two parts, 338 and 2, that multiplied together give a palindrome (676).

The spelling of 3382 in words is "three thousand, three hundred eighty-two".