34075536807312 has 2880 divisors, whose sum is σ = 141731748587520. Its totient is φ = 7420282214400.

The previous prime is 34075536807283. The next prime is 34075536807383. The reversal of 34075536807312 is 21370863557043.

34075536807312 is a `hidden beast` number, since 3 + 4 + 0 + 7 + 553 + 6 + 8 + 0 + 73 + 12 = 666.

It is a super-2 number, since 2×34075536807312² (a number of 28 digits) contains 22 as substring.

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 575 ways as a sum of consecutive naturals, for example, 318462960763 + ... + 318462960869.

It is an arithmetic number, because the mean of its divisors is an integer number (49212412704).

Almost surely, 2^{34075536807312} 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 34075536807312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70865874293760).

34075536807312 is an abundant number, since it is smaller than the sum of its proper divisors (107656211780208).

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

34075536807312 is a wasteful number, since it uses less digits than its factorization.

34075536807312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 34075536807312 in words is "thirty-four trillion, seventy-five billion, five hundred thirty-six million, eight hundred seven thousand, three hundred twelve".