34385820 has 192 divisors, whose sum is σ = 120422400. Its totient is φ = 7153920.

The previous prime is 34385809. The next prime is 34385861. The reversal of 34385820 is 2858343.

34385820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 247311 + ... + 247449.

It is an arithmetic number, because the mean of its divisors is an integer number (627200).

Almost surely, 2^34385820 is an apocalyptic number.

34385820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34385820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60211200).

34385820 is an abundant number, since it is smaller than the sum of its proper divisors (86036580).

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

34385820 is a wasteful number, since it uses less digits than its factorization.

34385820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 34385820 is about 5863.9423598804. The cubic root of 34385820 is about 325.1819730419.

The spelling of 34385820 in words is "thirty-four million, three hundred eighty-five thousand, eight hundred twenty".