34046000 has 80 divisors (see below), whose sum is σ = 85307040. Its totient is φ = 13126400.

The previous prime is 34045987. The next prime is 34046011. The reversal of 34046000 is 64043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 34046000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57707 + ... + 58293.

It is an arithmetic number, because the mean of its divisors is an integer number (1066338).

Almost surely, 2^34046000 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 34046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653520).

34046000 is an abundant number, since it is smaller than the sum of its proper divisors (51261040).

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

34046000 is a wasteful number, since it uses less digits than its factorization.

34046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 34046000 is about 5834.8950290472. The cubic root of 34046000 is about 324.1072144290.

The spelling of 34046000 in words is "thirty-four million, forty-six thousand", and thus it is an eban number.