34286820 has 48 divisors (see below), whose sum is σ = 96284160. Its totient is φ = 9116416.

The previous prime is 34286809. The next prime is 34286821. The reversal of 34286820 is 2868243.

It is not an unprimeable number, because it can be changed into a prime (34286821) 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 15 ways as a sum of consecutive naturals, for example, 28144 + ... + 29336.

It is an arithmetic number, because the mean of its divisors is an integer number (2005920).

Almost surely, 2^34286820 is an apocalyptic number.

34286820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34286820 is an abundant number, since it is smaller than the sum of its proper divisors (61997340).

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

34286820 is a wasteful number, since it uses less digits than its factorization.

34286820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 34286820 is about 5855.4948552620. The cubic root of 34286820 is about 324.8695965990.

The spelling of 34286820 in words is "thirty-four million, two hundred eighty-six thousand, eight hundred twenty".