3404 has 12 divisors (see below), whose sum is σ = 6384. Its totient is φ = 1584.

The previous prime is 3391. The next prime is 3407. The reversal of 3404 is 4043.

3404 = 17^{2} + 18^{2} + ... + 24^{2}.

3404 is nontrivially palindromic in base 6.

3404 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

3404 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a pancake number, because a pancake can be divided into 3404 parts by 82 straight cuts.

It is not an unprimeable number, because it can be changed into a prime (3407) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74 + ... + 110.

It is an arithmetic number, because the mean of its divisors is an integer number (532).

It is an amenable number.

3404 is a deficient number, since it is larger than the sum of its proper divisors (2980).

3404 is a wasteful number, since it uses less digits than its factorization.

3404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3404 is about 58.3438085833. The cubic root of 3404 is about 15.0428404926.

Adding to 3404 its reverse (4043), we get a palindrome (7447).

The spelling of 3404 in words is "three thousand, four hundred four", and thus it is an iban number.

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