3380 has 18 divisors (see below), whose sum is σ = 7686. Its totient is φ = 1248.

The previous prime is 3373. The next prime is 3389. The reversal of 3380 is 833.

3380 = T₁₆ + T₁₇ + ... + T₂₈.

It is a happy number.

3380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3380 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 3364 = 4^2 + 58^2 .

It is a super-2 number, since 2×3380² = 22848800, which contains 22 as substring.

3380 is an undulating number in base 8.

It is a plaindrome in base 7 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 polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 254 + ... + 266.

It is an arithmetic number, because the mean of its divisors is an integer number (427).

2³³⁸⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843).

3380 is an abundant number, since it is smaller than the sum of its proper divisors (4306).

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

3380 is a wasteful number, since it uses less digits than its factorization.

3380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 3380 is about 58.1377674150. The cubic root of 3380 is about 15.0074037524.

It can be divided in two parts, 3 and 380, that added together give a palindrome (383).

The spelling of 3380 in words is "three thousand, three hundred eighty".