34405000 has 80 divisors (see below), whose sum is σ = 92220480. Its totient is φ = 11784000.

The previous prime is 34404989. The next prime is 34405039. The reversal of 34405000 is 50443.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 34509 + ... + 35491.

It is an arithmetic number, because the mean of its divisors is an integer number (1152756).

Almost surely, 2^34405000 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 34405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46110240).

34405000 is an abundant number, since it is smaller than the sum of its proper divisors (57815480).

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

34405000 is an equidigital number, since it uses as much as digits as its factorization.

34405000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 34405000 is about 5865.5775504208. The cubic root of 34405000 is about 325.2424226784.

Adding to 34405000 its reverse (50443), we get a palindrome (34455443).

The spelling of 34405000 in words is "thirty-four million, four hundred five thousand".