34416409 has 2 divisors, whose sum is σ = 34416410. Its totient is φ = 34416408.

The previous prime is 34416341. The next prime is 34416463. The reversal of 34416409 is 90461443.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 27510025 + 6906384 = 5245^2 + 2628^2 .

It is an emirp because it is prime and its reverse (90461443) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34416409 - 2¹⁵ = 34383641 is a prime.

It is not a weakly prime, because it can be changed into another prime (34416209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17208204 + 17208205.

It is an arithmetic number, because the mean of its divisors is an integer number (17208205).

Almost surely, 2^34416409 is an apocalyptic number.

It is an amenable number.

34416409 is a deficient number, since it is larger than the sum of its proper divisors (1).

34416409 is an equidigital number, since it uses as much as digits as its factorization.

34416409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 34416409 is about 5866.5500083098. The cubic root of 34416409 is about 325.2783697860.

The spelling of 34416409 in words is "thirty-four million, four hundred sixteen thousand, four hundred nine".