34428900 has 72 divisors (see below), whose sum is σ = 108680544. Its totient is φ = 8345600.

The previous prime is 34428881. The next prime is 34428913. The reversal of 34428900 is 982443.

It is a happy number.

34428900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 23 ways as a sum of consecutive naturals, for example, 1917 + ... + 8516.

It is an arithmetic number, because the mean of its divisors is an integer number (1509452).

Almost surely, 2^34428900 is an apocalyptic number.

34428900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34428900 is an abundant number, since it is smaller than the sum of its proper divisors (74251644).

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

34428900 is a wasteful number, since it uses less digits than its factorization.

34428900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10461 (or 10454 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 34428900 is about 5867.6145067651. The cubic root of 34428900 is about 325.3177169152.

The spelling of 34428900 in words is "thirty-four million, four hundred twenty-eight thousand, nine hundred".