3407 has 2 divisors, whose sum is σ = 3408. Its totient is φ = 3406.

The previous prime is 3391. The next prime is 3413. The reversal of 3407 is 7043.

It is a strong prime.

It is an emirp because it is prime and its reverse (7043) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 3407 - 2⁴ = 3391 is a prime.

It is a Chen prime.

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 3391 and 3400.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1703 + 1704.

It is an arithmetic number, because the mean of its divisors is an integer number (1704).

2³⁴⁰⁷ is an apocalyptic number.

3407 is a deficient number, since it is larger than the sum of its proper divisors (1).

3407 is an equidigital number, since it uses as much as digits as its factorization.

3407 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 14.

The square root of 3407 is about 58.3695125900. The cubic root of 3407 is about 15.0472583609.

It can be divided in two parts, 3 and 407, that multiplied together give a palindrome (1221).

The spelling of 3407 in words is "three thousand, four hundred seven", and thus it is an iban number.