34302128 has 80 divisors (see below), whose sum is σ = 80352000. Its totient is φ = 13875456.

The previous prime is 34302127. The next prime is 34302133. The reversal of 34302128 is 82120343.

It is not an unprimeable number, because it can be changed into a prime (34302127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191543 + ... + 191721.

It is an arithmetic number, because the mean of its divisors is an integer number (1004400).

Almost surely, 2^34302128 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 34302128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40176000).

34302128 is an abundant number, since it is smaller than the sum of its proper divisors (46049872).

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

34302128 is a wasteful number, since it uses less digits than its factorization.

34302128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 34302128 is about 5856.8018576694. The cubic root of 34302128 is about 324.9179374664.

The spelling of 34302128 in words is "thirty-four million, three hundred two thousand, one hundred twenty-eight".