34001050311 has 48 divisors (see below), whose sum is σ = 52302931200. Its totient is φ = 21210799104.

The previous prime is 34001050309. The next prime is 34001050331. The reversal of 34001050311 is 11305010043.

34001050311 is a `hidden beast` number, since 340 + 0 + 10 + 5 + 0 + 311 = 666.

It is not a de Polignac number, because 34001050311 - 2¹ = 34001050309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001050331) 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 47 ways as a sum of consecutive naturals, for example, 23627530 + ... + 23628968.

It is an arithmetic number, because the mean of its divisors is an integer number (1089644400).

Almost surely, 2^34001050311 is an apocalyptic number.

34001050311 is a deficient number, since it is larger than the sum of its proper divisors (18301880889).

34001050311 is a wasteful number, since it uses less digits than its factorization.

34001050311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2248 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 34001050311 its reverse (11305010043), we get a palindrome (45306060354).

The spelling of 34001050311 in words is "thirty-four billion, one million, fifty thousand, three hundred eleven".