34416410321 has 2 divisors, whose sum is σ = 34416410322. Its totient is φ = 34416410320.

The previous prime is 34416410311. The next prime is 34416410407. The reversal of 34416410321 is 12301461443.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34238321296 + 178089025 = 185036^2 + 13345^2 .

It is a cyclic number.

It is not a de Polignac number, because 34416410321 - 2²⁶ = 34349301457 is a prime.

It is not a weakly prime, because it can be changed into another prime (34416410311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17208205160 + 17208205161.

It is an arithmetic number, because the mean of its divisors is an integer number (17208205161).

Almost surely, 2^34416410321 is an apocalyptic number.

It is an amenable number.

34416410321 is a deficient number, since it is larger than the sum of its proper divisors (1).

34416410321 is an equidigital number, since it uses as much as digits as its factorization.

34416410321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 34416410321 its reverse (12301461443), we get a palindrome (46717871764).

The spelling of 34416410321 in words is "thirty-four billion, four hundred sixteen million, four hundred ten thousand, three hundred twenty-one".