34227427955328 has 256 divisors, whose sum is σ = 105428545747200. Its totient is φ = 10911230668800.

The previous prime is 34227427955299. The next prime is 34227427955353. The reversal of 34227427955328 is 82355972472243.

34227427955328 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 7 + 4 + 2 + 7 + 95 + 532 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 510358918 + ... + 510425978.

It is an arithmetic number, because the mean of its divisors is an integer number (411830256825).

Almost surely, 2^{34227427955328} 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 34227427955328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52714272873600).

34227427955328 is an abundant number, since it is smaller than the sum of its proper divisors (71201117791872).

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

34227427955328 is a wasteful number, since it uses less digits than its factorization.

34227427955328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73528 (or 73510 counting only the distinct ones).

The product of its digits is 203212800, while the sum is 63.

The spelling of 34227427955328 in words is "thirty-four trillion, two hundred twenty-seven billion, four hundred twenty-seven million, nine hundred fifty-five thousand, three hundred twenty-eight".