34344641401 has 12 divisors (see below), whose sum is σ = 40220072100. Its totient is φ = 29240685600.

The previous prime is 34344641341. The next prime is 34344641407. The reversal of 34344641401 is 10414644343.

It can be written as a sum of positive squares in 2 ways, for example, as 9239823376 + 25104818025 = 96124^2 + 158445^2 .

It is not a de Polignac number, because 34344641401 - 2¹³ = 34344633209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34344641407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2344750 + ... + 2359351.

It is an arithmetic number, because the mean of its divisors is an integer number (3351672675).

Almost surely, 2^34344641401 is an apocalyptic number.

It is an amenable number.

34344641401 is a deficient number, since it is larger than the sum of its proper divisors (5875430699).

34344641401 is a wasteful number, since it uses less digits than its factorization.

34344641401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4704264 (or 4704257 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

The spelling of 34344641401 in words is "thirty-four billion, three hundred forty-four million, six hundred forty-one thousand, four hundred one".