34036000 has 96 divisors (see below), whose sum is σ = 85542912. Its totient is φ = 13305600.

The previous prime is 34035997. The next prime is 34036007. The reversal of 34036000 is 63043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34036007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267937 + ... + 268063.

It is an arithmetic number, because the mean of its divisors is an integer number (891072).

Almost surely, 2^34036000 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 34036000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42771456).

34036000 is an abundant number, since it is smaller than the sum of its proper divisors (51506912).

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

34036000 is a wasteful number, since it uses less digits than its factorization.

34036000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 34036000 is about 5834.0380526699. The cubic root of 34036000 is about 324.0754790365.

Adding to 34036000 its reverse (63043), we get a palindrome (34099043).

The spelling of 34036000 in words is "thirty-four million, thirty-six thousand", and thus it is an eban number.