34667420428799 has 2 divisors, whose sum is σ = 34667420428800. Its totient is φ = 34667420428798.

The previous prime is 34667420428783. The next prime is 34667420428843. The reversal of 34667420428799 is 99782402476643.

It is a weak prime.

It is an emirp because it is prime and its reverse (99782402476643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 34667420428799 - 2⁴ = 34667420428783 is a prime.

It is a super-2 number, since 2×34667420428799² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34667420428759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17333710214399 + 17333710214400.

It is an arithmetic number, because the mean of its divisors is an integer number (17333710214400).

Almost surely, 2^{34667420428799} is an apocalyptic number.

34667420428799 is a deficient number, since it is larger than the sum of its proper divisors (1).

34667420428799 is an equidigital number, since it uses as much as digits as its factorization.

34667420428799 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 877879296, while the sum is 71.

The spelling of 34667420428799 in words is "thirty-four trillion, six hundred sixty-seven billion, four hundred twenty million, four hundred twenty-eight thousand, seven hundred ninety-nine".