3408120416567 has 2 divisors, whose sum is σ = 3408120416568. Its totient is φ = 3408120416566.

The previous prime is 3408120416563. The next prime is 3408120416609. The reversal of 3408120416567 is 7656140218043.

3408120416567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 3408120416567 - 2² = 3408120416563 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3408120416563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1704060208283 + 1704060208284.

It is an arithmetic number, because the mean of its divisors is an integer number (1704060208284).

Almost surely, 2^{3408120416567} is an apocalyptic number.

3408120416567 is a deficient number, since it is larger than the sum of its proper divisors (1).

3408120416567 is an equidigital number, since it uses as much as digits as its factorization.

3408120416567 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 3408120416567 in words is "three trillion, four hundred eight billion, one hundred twenty million, four hundred sixteen thousand, five hundred sixty-seven".