34842528 has 144 divisors (see below), whose sum is σ = 118359360. Its totient is φ = 9942912.

The previous prime is 34842527. The next prime is 34842541. The reversal of 34842528 is 82524843.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34842492 and 34842501.

It is not an unprimeable number, because it can be changed into a prime (34842527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41925 + ... + 42747.

It is an arithmetic number, because the mean of its divisors is an integer number (821940).

Almost surely, 2^34842528 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 34842528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59179680).

34842528 is an abundant number, since it is smaller than the sum of its proper divisors (83516832).

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

34842528 is a wasteful number, since it uses less digits than its factorization.

34842528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 835 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 34842528 is about 5902.7559664957. The cubic root of 34842528 is about 326.6153207280.

The spelling of 34842528 in words is "thirty-four million, eight hundred forty-two thousand, five hundred twenty-eight".