34066000 has 40 divisors (see below), whose sum is σ = 82376424. Its totient is φ = 13625600.

The previous prime is 34065989. The next prime is 34066003. The reversal of 34066000 is 66043.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4210704 + 29855296 = 2052^2 + 5464^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34066003) 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 7 ways as a sum of consecutive naturals, for example, 6517 + ... + 10516.

Almost surely, 2^34066000 is an apocalyptic number.

It is an amenable number.

34066000 is an abundant number, since it is smaller than the sum of its proper divisors (48310424).

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

34066000 is a wasteful number, since it uses less digits than its factorization.

34066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17056 (or 17040 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 34066000 is about 5836.6086043181. The cubic root of 34066000 is about 324.1706665762.

The spelling of 34066000 in words is "thirty-four million, sixty-six thousand", and thus it is an eban number.