34820128 has 48 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 14846976.

The previous prime is 34820117. The next prime is 34820129. The reversal of 34820128 is 82102843.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 34820096 and 34820105.

It is not an unprimeable number, because it can be changed into a prime (34820129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80200 + ... + 80632.

It is an arithmetic number, because the mean of its divisors is an integer number (1640520).

Almost surely, 2^34820128 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 34820128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

34820128 is an abundant number, since it is smaller than the sum of its proper divisors (43924832).

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

34820128 is a wasteful number, since it uses less digits than its factorization.

34820128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 34820128 is about 5900.8582426627. The cubic root of 34820128 is about 326.5453128764.

The spelling of 34820128 in words is "thirty-four million, eight hundred twenty thousand, one hundred twenty-eight".