3388 has 18 divisors (see below), whose sum is σ = 7448. Its totient is φ = 1320.

The previous prime is 3373. The next prime is 3389. The reversal of 3388 is 8833.

Adding to 3388 its reverse (8833), we get a palindrome (12221).

Subtracting 3388 from its reverse (8833), we obtain a palindrome (5445).

It can be divided in two parts, 338 and 8, that multiplied together give a square (2704 = 52^{2}).

3388 is nontrivially palindromic in base 3.

3388 is an astonishing number since 3388 = 33 + ... + 88.

It is a super-2 number, since 2×3388^{2} = 22957088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 10.

It is a zygodrome in base 3 and base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3389) by changing a digit.

3388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 303 + ... + 313.

2^{3388} 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 3388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3724).

3388 is an abundant number, since it is smaller than the sum of its proper divisors (4060).

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

3388 is a wasteful number, since it uses less digits than its factorization.

3388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 20 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 3388 is about 58.2065288434. The cubic root of 3388 is about 15.0192345841.

The spelling of 3388 in words is "three thousand, three hundred eighty-eight".

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