34516931070 has 128 divisors (see below), whose sum is σ = 89747481600. Its totient is φ = 8464013312.

The previous prime is 34516931027. The next prime is 34516931107. The reversal of 34516931070 is 7013961543.

34516931070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×34516931070³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5021596 + ... + 5028464.

It is an arithmetic number, because the mean of its divisors is an integer number (701152200).

Almost surely, 2^34516931070 is an apocalyptic number.

34516931070 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34516931070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44873740800).

34516931070 is an abundant number, since it is smaller than the sum of its proper divisors (55230550530).

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

34516931070 is a wasteful number, since it uses less digits than its factorization.

34516931070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7122.

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 34516931070 in words is "thirty-four billion, five hundred sixteen million, nine hundred thirty-one thousand, seventy".