34001132240311 has 16 divisors (see below), whose sum is σ = 34670489940000. Its totient is φ = 33332811378048.

The previous prime is 34001132240221. The next prime is 34001132240323. The reversal of 34001132240311 is 11304223110043.

It is a cyclic number.

It is not a de Polignac number, because 34001132240311 - 2⁹ = 34001132239799 is a prime.

It is a super-2 number, since 2×34001132240311² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34001132244311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685523365 + ... + 685572961.

It is an arithmetic number, because the mean of its divisors is an integer number (2166905621250).

Almost surely, 2^{34001132240311} is an apocalyptic number.

34001132240311 is a deficient number, since it is larger than the sum of its proper divisors (669357699689).

34001132240311 is a wasteful number, since it uses less digits than its factorization.

34001132240311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59778.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 34001132240311 its reverse (11304223110043), we get a palindrome (45305355350354).

The spelling of 34001132240311 in words is "thirty-four trillion, one billion, one hundred thirty-two million, two hundred forty thousand, three hundred eleven".