34056907272 has 256 divisors, whose sum is σ = 99632332800. Its totient is φ = 10766062080.

The previous prime is 34056907259. The next prime is 34056907273. The reversal of 34056907272 is 27270965043.

It is not an unprimeable number, because it can be changed into a prime (34056907273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 129493813 + ... + 129494075.

It is an arithmetic number, because the mean of its divisors is an integer number (389188800).

Almost surely, 2^34056907272 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 34056907272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49816166400).

34056907272 is an abundant number, since it is smaller than the sum of its proper divisors (65575425528).

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

34056907272 is a wasteful number, since it uses less digits than its factorization.

34056907272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 34056907272 in words is "thirty-four billion, fifty-six million, nine hundred seven thousand, two hundred seventy-two".