34005006 has 48 divisors (see below), whose sum is σ = 85379424. Its totient is φ = 9580032.

The previous prime is 34005001. The next prime is 34005007. The reversal of 34005006 is 60050043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 34005006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34005001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7350 + ... + 11046.

It is an arithmetic number, because the mean of its divisors is an integer number (1778738).

Almost surely, 2^34005006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34005006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42689712).

34005006 is an abundant number, since it is smaller than the sum of its proper divisors (51374418).

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

34005006 is a wasteful number, since it uses less digits than its factorization.

34005006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 34005006 is about 5831.3811400045. The cubic root of 34005006 is about 323.9770788540.

Adding to 34005006 its reverse (60050043), we get a palindrome (94055049).

The spelling of 34005006 in words is "thirty-four million, five thousand, six".