34345516608 has 84 divisors (see below), whose sum is σ = 106017954588. Its totient is φ = 10567848960.

The previous prime is 34345516589. The next prime is 34345516643. The reversal of 34345516608 is 80661554343.

34345516608 is a `hidden beast` number, since 3 + 4 + 34 + 5 + 5 + 1 + 6 + 608 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6627262464 + 27718254144 = 81408^2 + 166488^2 .

It is a super-2 number, since 2×34345516608² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2285883 + ... + 2300858.

It is an arithmetic number, because the mean of its divisors is an integer number (1262118507).

Almost surely, 2^34345516608 is an apocalyptic number.

It is an amenable number.

34345516608 is an abundant number, since it is smaller than the sum of its proper divisors (71672437980).

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

34345516608 is a wasteful number, since it uses less digits than its factorization.

34345516608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4586772 (or 4586759 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

It can be divided in two parts, 343455 and 16608, that added together give a palindrome (360063).

The spelling of 34345516608 in words is "thirty-four billion, three hundred forty-five million, five hundred sixteen thousand, six hundred eight".