34112722736 has 60 divisors (see below), whose sum is σ = 68641942200. Its totient is φ = 16422303744.

The previous prime is 34112722727. The next prime is 34112722753. The reversal of 34112722736 is 63722721143.

It is a super-2 number, since 2×34112722736² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 34112722736.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5096480 + ... + 5103168.

It is an arithmetic number, because the mean of its divisors is an integer number (1144032370).

Almost surely, 2^34112722736 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 34112722736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34320971100).

34112722736 is an abundant number, since it is smaller than the sum of its proper divisors (34529219464).

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

34112722736 is a wasteful number, since it uses less digits than its factorization.

34112722736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7134 (or 7099 counting only the distinct ones).

The product of its digits is 84672, while the sum is 38.

The spelling of 34112722736 in words is "thirty-four billion, one hundred twelve million, seven hundred twenty-two thousand, seven hundred thirty-six".