34671712608 has 192 divisors, whose sum is σ = 109046246400. Its totient is φ = 10654364160.

The previous prime is 34671712541. The next prime is 34671712627. The reversal of 34671712608 is 80621717643.

34671712608 is a `hidden beast` number, since 34 + 6 + 7 + 1 + 7 + 1 + 2 + 608 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11668563 + ... + 11671533.

It is an arithmetic number, because the mean of its divisors is an integer number (567949200).

Almost surely, 2^34671712608 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 34671712608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54523123200).

34671712608 is an abundant number, since it is smaller than the sum of its proper divisors (74374533792).

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

34671712608 is a wasteful number, since it uses less digits than its factorization.

34671712608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 34671712608 in words is "thirty-four billion, six hundred seventy-one million, seven hundred twelve thousand, six hundred eight".