349642804801 has 2 divisors, whose sum is σ = 349642804802. Its totient is φ = 349642804800.

The previous prime is 349642804759. The next prime is 349642804859. The reversal of 349642804801 is 108408246943.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 339421594801 + 10221210000 = 582599^2 + 101100^2 .

It is a cyclic number.

It is not a de Polignac number, because 349642804801 - 2⁹ = 349642804289 is a prime.

It is a super-2 number, since 2×349642804801² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (349642844801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 174821402400 + 174821402401.

It is an arithmetic number, because the mean of its divisors is an integer number (174821402401).

Almost surely, 2^349642804801 is an apocalyptic number.

It is an amenable number.

349642804801 is a deficient number, since it is larger than the sum of its proper divisors (1).

349642804801 is an equidigital number, since it uses as much as digits as its factorization.

349642804801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 349642804801 in words is "three hundred forty-nine billion, six hundred forty-two million, eight hundred four thousand, eight hundred one".