34000412042224 has 20 divisors (see below), whose sum is σ = 68147377585560. Its totient is φ = 16413992020160.

The previous prime is 34000412042147. The next prime is 34000412042251. The reversal of 34000412042224 is 42224021400043.

It is a junction number, because it is equal to n+sod(n) for n = 34000412042192 and 34000412042201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36638374582 + ... + 36638375509.

It is an arithmetic number, because the mean of its divisors is an integer number (3407368879278).

Almost surely, 2^{34000412042224} is an apocalyptic number.

It is an amenable number.

34000412042224 is an abundant number, since it is smaller than the sum of its proper divisors (34146965543336).

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

34000412042224 is a wasteful number, since it uses less digits than its factorization.

34000412042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73276750128 (or 73276750122 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 34000412042224 its reverse (42224021400043), we get a palindrome (76224433442267).

The spelling of 34000412042224 in words is "thirty-four trillion, four hundred twelve million, forty-two thousand, two hundred twenty-four".