3390 has 16 divisors (see below), whose sum is σ = 8208. Its totient is φ = 896.

The previous prime is 3389. The next prime is 3391. The reversal of 3390 is 933.

3390 = 24² + 25² + ... + 28².

3390 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (3389) and next prime (3391).

It is a super-2 number, since 2×3390² = 22984200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (15) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

3390 is an undulating number in base 15.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3391) 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, 27 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (513).

2³³⁹⁰ is an apocalyptic number.

3390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3390 is an abundant number, since it is smaller than the sum of its proper divisors (4818).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104).

3390 is a wasteful number, since it uses less digits than its factorization.

3390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 3390 is about 58.2237065120. The cubic root of 3390 is about 15.0221893815.

Subtracting from 3390 its sum of digits (15), we obtain a cube (3375 = 15³).

It can be divided in two parts, 3 and 390, that added together give a palindrome (393).

The spelling of 3390 in words is "three thousand, three hundred ninety".