34088053608 has 192 divisors, whose sum is σ = 115855608960. Its totient is φ = 9166473216.

The previous prime is 34088053589. The next prime is 34088053609. The reversal of 34088053608 is 80635088043.

34088053608 is a `hidden beast` number, since 34 + 0 + 8 + 8 + 0 + 5 + 3 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (34088053609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157660 + ... + 305012.

It is an arithmetic number, because the mean of its divisors is an integer number (603414630).

Almost surely, 2^34088053608 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 34088053608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57927804480).

34088053608 is an abundant number, since it is smaller than the sum of its proper divisors (81767555352).

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

34088053608 is a wasteful number, since it uses less digits than its factorization.

34088053608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147398 (or 147382 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 34088053608 in words is "thirty-four billion, eighty-eight million, fifty-three thousand, six hundred eight".