3357 has 6 divisors (see below), whose sum is σ = 4862. Its totient is φ = 2232.

The previous prime is 3347. The next prime is 3359. The reversal of 3357 is 7533.

3357 is nontrivially palindromic in base 16.

3357 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 2916 + 441 = 54^2 + 21^2 .

It is not a de Polignac number, because 3357 - 2⁷ = 3229 is a prime.

It is a super-2 number, since 2×3357² = 22538898, which contains 22 as substring.

It is a Duffinian number.

3357 is an undulating number in base 16.

It is a plaindrome in base 10.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3359) 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 5 ways as a sum of consecutive naturals, for example, 178 + ... + 195.

It is an amenable number.

3357 is a deficient number, since it is larger than the sum of its proper divisors (1505).

3357 is a wasteful number, since it uses less digits than its factorization.

3357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 376 counting only the distinct ones).

The product of its digits is 315, while the sum is 18.

The square root of 3357 is about 57.9396237475. The cubic root of 3357 is about 14.9732857850.

Adding to 3357 its sum of digits (18), we get a cube (3375 = 15³).

It can be divided in two parts, 33 and 57, that multiplied together give a palindrome (1881).

The spelling of 3357 in words is "three thousand, three hundred fifty-seven".