34302128128 has 104 divisors (see below), whose sum is σ = 71108757648. Its totient is φ = 16531587072.

The previous prime is 34302128099. The next prime is 34302128143. The reversal of 34302128128 is 82182120343.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 34302128093 and 34302128102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17124375 + ... + 17126377.

Almost surely, 2^34302128128 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 34302128128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35554378824).

34302128128 is an abundant number, since it is smaller than the sum of its proper divisors (36806629520).

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

34302128128 is a wasteful number, since it uses less digits than its factorization.

34302128128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2177 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The spelling of 34302128128 in words is "thirty-four billion, three hundred two million, one hundred twenty-eight thousand, one hundred twenty-eight".