34042200 has 48 divisors (see below), whose sum is σ = 105532680. Its totient is φ = 9077760.

The previous prime is 34042199. The next prime is 34042237. The reversal of 34042200 is 224043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 34042200.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 27769 + ... + 28968.

Almost surely, 2^34042200 is an apocalyptic number.

34042200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34042200 is an abundant number, since it is smaller than the sum of its proper divisors (71490480).

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

34042200 is a wasteful number, since it uses less digits than its factorization.

34042200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56756 (or 56747 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 34042200 is about 5834.5693928515. The cubic root of 34042200 is about 324.0951557120.

Adding to 34042200 its reverse (224043), we get a palindrome (34266243).

The spelling of 34042200 in words is "thirty-four million, forty-two thousand, two hundred".