34012320310044 has 108 divisors (see below), whose sum is σ = 87195724584696. Its totient is φ = 11178764722944.

The previous prime is 34012320309911. The next prime is 34012320310063. The reversal of 34012320310044 is 44001302321043.

34012320310044 is a `hidden beast` number, since 3 + 401 + 2 + 3 + 203 + 10 + 0 + 44 = 666.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 682364187 + ... + 682414029.

Almost surely, 2^{34012320310044} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34012320310044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43597862292348).

34012320310044 is an abundant number, since it is smaller than the sum of its proper divisors (53183404274652).

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

34012320310044 is a wasteful number, since it uses less digits than its factorization.

34012320310044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53556 (or 53478 counting only the distinct ones).

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

Adding to 34012320310044 its reverse (44001302321043), we get a palindrome (78013622631087).

The spelling of 34012320310044 in words is "thirty-four trillion, twelve billion, three hundred twenty million, three hundred ten thousand, forty-four".