3434505200 has 60 divisors (see below), whose sum is σ = 9430177680. Its totient is φ = 1177543680.

The previous prime is 3434505187. The next prime is 3434505209. The reversal of 3434505200 is 25054343.

It is a self number, because there is not a number n which added to its sum of digits gives 3434505200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3434505209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 610505 + ... + 616104.

It is an arithmetic number, because the mean of its divisors is an integer number (157169628).

Almost surely, 2^3434505200 is an apocalyptic number.

It is an amenable number.

3434505200 is an abundant number, since it is smaller than the sum of its proper divisors (5995672480).

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

3434505200 is a wasteful number, since it uses less digits than its factorization.

3434505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226634 (or 1226623 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 26.

The square root of 3434505200 is about 58604.6516925065. The cubic root of 3434505200 is about 1508.7642770824.

Adding to 3434505200 its reverse (25054343), we get a palindrome (3459559543).

The spelling of 3434505200 in words is "three billion, four hundred thirty-four million, five hundred five thousand, two hundred".