34400344201 has 2 divisors, whose sum is σ = 34400344202. Its totient is φ = 34400344200.

The previous prime is 34400344193. The next prime is 34400344241. The reversal of 34400344201 is 10244300443.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25987052025 + 8413292176 = 161205^2 + 91724^2 .

It is a cyclic number.

It is not a de Polignac number, because 34400344201 - 2³ = 34400344193 is a prime.

It is a super-2 number, since 2×34400344201² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34400344241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17200172100 + 17200172101.

It is an arithmetic number, because the mean of its divisors is an integer number (17200172101).

Almost surely, 2^34400344201 is an apocalyptic number.

It is an amenable number.

34400344201 is a deficient number, since it is larger than the sum of its proper divisors (1).

34400344201 is an equidigital number, since it uses as much as digits as its factorization.

34400344201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34400344201 its reverse (10244300443), we get a palindrome (44644644644).

The spelling of 34400344201 in words is "thirty-four billion, four hundred million, three hundred forty-four thousand, two hundred one".