34005000 has 80 divisors (see below), whose sum is σ = 106278480. Its totient is φ = 9064000.

The previous prime is 34004987. The next prime is 34005001. The reversal of 34005000 is 50043.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (34005001) 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 19 ways as a sum of consecutive naturals, for example, 13867 + ... + 16133.

It is an arithmetic number, because the mean of its divisors is an integer number (1328481).

Almost surely, 2^34005000 is an apocalyptic number.

34005000 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 34005000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53139240).

34005000 is an abundant number, since it is smaller than the sum of its proper divisors (72273480).

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

34005000 is a wasteful number, since it uses less digits than its factorization.

34005000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 34005000 is about 5831.3806255466. The cubic root of 34005000 is about 323.9770597994.

Adding to 34005000 its reverse (50043), we get a palindrome (34055043).

The spelling of 34005000 in words is "thirty-four million, five thousand".