34301535128 has 128 divisors (see below), whose sum is σ = 77991258240. Its totient is φ = 13837824000.

The previous prime is 34301535119. The next prime is 34301535143. The reversal of 34301535128 is 82153510343.

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, 7420658 + ... + 7425278.

It is an arithmetic number, because the mean of its divisors is an integer number (609306705).

Almost surely, 2^34301535128 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 34301535128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38995629120).

34301535128 is an abundant number, since it is smaller than the sum of its proper divisors (43689723112).

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

34301535128 is a wasteful number, since it uses less digits than its factorization.

34301535128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4789 (or 4785 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 34301535128 in words is "thirty-four billion, three hundred one million, five hundred thirty-five thousand, one hundred twenty-eight".