34079029019616 has 192 divisors, whose sum is σ = 105058369543680. Its totient is φ = 9468463196160.

The previous prime is 34079029019507. The next prime is 34079029019617. The reversal of 34079029019616 is 61691092097043.

It is a super-2 number, since 2×34079029019616² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34079029019617) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44650290 + ... + 45407118.

It is an arithmetic number, because the mean of its divisors is an integer number (547179008040).

Almost surely, 2^{34079029019616} 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 34079029019616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52529184771840).

34079029019616 is an abundant number, since it is smaller than the sum of its proper divisors (70979340524064).

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

34079029019616 is a wasteful number, since it uses less digits than its factorization.

34079029019616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758697 (or 758689 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 57.

The spelling of 34079029019616 in words is "thirty-four trillion, seventy-nine billion, twenty-nine million, nineteen thousand, six hundred sixteen".