34205770368 has 512 divisors, whose sum is σ = 126763315200. Its totient is φ = 8821370880.

The previous prime is 34205770327. The next prime is 34205770369. The reversal of 34205770368 is 86307750243.

34205770368 is a `hidden beast` number, since 3 + 42 + 0 + 577 + 0 + 36 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (34205770369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46037005 + ... + 46037747.

It is an arithmetic number, because the mean of its divisors is an integer number (247584600).

Almost surely, 2^34205770368 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 34205770368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63381657600).

34205770368 is an abundant number, since it is smaller than the sum of its proper divisors (92557544832).

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

34205770368 is a wasteful number, since it uses less digits than its factorization.

34205770368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 34205770368 in words is "thirty-four billion, two hundred five million, seven hundred seventy thousand, three hundred sixty-eight".