34425091600 has 45 divisors (see below), whose sum is σ = 82715198727. Its totient is φ = 13768552320.

The previous prime is 34425091549. The next prime is 34425091601. The reversal of 34425091600 is 619052443.

It is a happy number.

The square root of 34425091600 is 185540.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1411655184 + 33013436416 = 37572^2 + 181696^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34425091601) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3706162 + ... + 3715438.

Almost surely, 2^34425091600 is an apocalyptic number.

34425091600 is the 185540-th square number.

It is an amenable number.

34425091600 is an abundant number, since it is smaller than the sum of its proper divisors (48290107127).

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

34425091600 is an frugal number, since it uses more digits than its factorization.

34425091600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18572 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 34425091600 in words is "thirty-four billion, four hundred twenty-five million, ninety-one thousand, six hundred".