34079367168 has 1120 divisors, whose sum is σ = 137019548160. Its totient is φ = 8174960640.

The previous prime is 34079367109. The next prime is 34079367199. The reversal of 34079367168 is 86176397043.

It is a super-2 number, since 2×34079367168² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1175150578 + ... + 1175150606.

Almost surely, 2^34079367168 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 34079367168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68509774080).

34079367168 is an abundant number, since it is smaller than the sum of its proper divisors (102940180992).

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

34079367168 is a wasteful number, since it uses less digits than its factorization.

34079367168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

It can be divided in two parts, 3407936 and 7168, that added together give a square (3415104 = 1848²).

The spelling of 34079367168 in words is "thirty-four billion, seventy-nine million, three hundred sixty-seven thousand, one hundred sixty-eight".