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3378 = 23563

3378 has 8 divisors (see below), whose sum is σ = 6768. Its totient is φ = 1124.

The previous prime is 3373. The next prime is 3389. The reversal of 3378 is 8733.

It can be divided in two parts, 33 and 78, that added together give a palindrome (111).

3378 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

3378 is an admirable number.

It is a super-2 number, since 2×33782 = 22821768, which contains 22 as substring.

It is a plaindrome in base 10 and base 14.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (3371) by changing a digit.

3378 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276 + ... + 287.

It is an arithmetic number, because the mean of its divisors is an integer number (846).

3378 is a Friedman number, since it can be written as (8+7)^3+3, using all its digits and the basic arithmetic operations.

3378 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (3384).

3378 is a wasteful number, since it uses less digits than its factorization.

3378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568.

The product of its digits is 504, while the sum is 21.

The square root of 3378 is about 58.1205643469. The cubic root of 3378 is about 15.0044431282.

The spelling of 3378 in words is "three thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 563 1126 1689 3378