34130251008 has 432 divisors, whose sum is σ = 119772971136. Its totient is φ = 9124577280.

The previous prime is 34130250989. The next prime is 34130251033. The reversal of 34130251008 is 80015203143.

It is a happy number.

34130251008 is a `hidden beast` number, since 341 + 302 + 5 + 10 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77043235 + ... + 77043677.

It is an arithmetic number, because the mean of its divisors is an integer number (277252248).

Almost surely, 2^34130251008 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 34130251008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59886485568).

34130251008 is an abundant number, since it is smaller than the sum of its proper divisors (85642720128).

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

34130251008 is a wasteful number, since it uses less digits than its factorization.

34130251008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 34130251008 in words is "thirty-four billion, one hundred thirty million, two hundred fifty-one thousand, eight".