34041800 has 48 divisors (see below), whose sum is σ = 85241940. Its totient is φ = 12568320.

The previous prime is 34041757. The next prime is 34041823. The reversal of 34041800 is 814043.

34041800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13557124 + 20484676 = 3682^2 + 4526^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3947 + ... + 9146.

Almost surely, 2^34041800 is an apocalyptic number.

It is an amenable number.

34041800 is an abundant number, since it is smaller than the sum of its proper divisors (51200140).

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

34041800 is a wasteful number, since it uses less digits than its factorization.

34041800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13122 (or 13113 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 34041800 is about 5834.5351143000. The cubic root of 34041800 is about 324.0938863211.

Adding to 34041800 its reverse (814043), we get a palindrome (34855843).

The spelling of 34041800 in words is "thirty-four million, forty-one thousand, eight hundred".