311430022400034 has 48 divisors (see below), whose sum is σ = 675732531618144. Its totient is φ = 103661215257600.

The previous prime is 311430022400033. The next prime is 311430022400059. The reversal of 311430022400034 is 430004220034113.

311430022400034 is a `hidden beast` number, since 3 + 1 + 1 + 430 + 0 + 224 + 0 + 0 + 0 + 3 + 4 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 311430022399980 and 311430022400007.

It is not an unprimeable number, because it can be changed into a prime (311430022400033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70751449 + ... + 75024179.

It is an arithmetic number, because the mean of its divisors is an integer number (14077761075378).

Almost surely, 2^{311430022400034} is an apocalyptic number.

311430022400034 is an abundant number, since it is smaller than the sum of its proper divisors (364302509218110).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311430022400034 is a wasteful number, since it uses less digits than its factorization.

311430022400034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4278543 (or 4278540 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 311430022400034 its reverse (430004220034113), we get a palindrome (741434242434147).

The spelling of 311430022400034 in words is "three hundred eleven trillion, four hundred thirty billion, twenty-two million, four hundred thousand, thirty-four".