312031400330034 has 256 divisors, whose sum is σ = 871727870361600. Its totient is φ = 81039619203840.

The previous prime is 312031400329933. The next prime is 312031400330071. The reversal of 312031400330034 is 430033004130213.

312031400330034 is a `hidden beast` number, since 3 + 12 + 0 + 314 + 0 + 0 + 3 + 300 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 7268524282 + ... + 7268567210.

It is an arithmetic number, because the mean of its divisors is an integer number (3405186993600).

Almost surely, 2^{312031400330034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312031400330034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435863935180800).

312031400330034 is an abundant number, since it is smaller than the sum of its proper divisors (559696470031566).

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

312031400330034 is a wasteful number, since it uses less digits than its factorization.

312031400330034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57427 (or 57399 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 312031400330034 its reverse (430033004130213), we get a palindrome (742064404460247).

The spelling of 312031400330034 in words is "three hundred twelve trillion, thirty-one billion, four hundred million, three hundred thirty thousand, thirty-four".