3338 has 4 divisors (see below), whose sum is σ = 5010. Its totient is φ = 1668.

The previous prime is 3331. The next prime is 3343. The reversal of 3338 is 8333.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 8333 = 13 ⋅641.

It can be written as a sum of positive squares in only one way, i.e., 2809 + 529 = 53^2 + 23^2 .

It is a super-2 number, since 2×3338² = 22284488, which contains 22 as substring.

It is a plaindrome in base 10 and base 13.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (3331) by changing a digit.

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, 833 + ... + 836.

2³³³⁸ is an apocalyptic number.

3338 is a deficient number, since it is larger than the sum of its proper divisors (1672).

3338 is a wasteful number, since it uses less digits than its factorization.

3338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671.

The product of its digits is 216, while the sum is 17.

The square root of 3338 is about 57.7754273026. The cubic root of 3338 is about 14.9449836453.

Subtracting from 3338 its sum of digits (17), we obtain a triangular number (3321 = T₈₁).

The spelling of 3338 in words is "three thousand, three hundred thirty-eight".