30394435600 has 135 divisors (see below), whose sum is σ = 76537512093. Its totient is φ = 11598491520.

The previous prime is 30394435583. The next prime is 30394435607. The reversal of 30394435600 is 653449303.

The square root of 30394435600 is 174340.

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

It can be written as a sum of positive squares in only one way, i.e., 10941996816 + 19452438784 = 104604^2 + 139472^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 30394435600.

It is not an unprimeable number, because it can be changed into a prime (30394435607) 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 26 ways as a sum of consecutive naturals, for example, 80196211 + ... + 80196589.

Almost surely, 2^30394435600 is an apocalyptic number.

30394435600 is the 174340-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30394435600

30394435600 is an abundant number, since it is smaller than the sum of its proper divisors (46143076493).

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

30394435600 is an equidigital number, since it uses as much as digits as its factorization.

30394435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 37.

The spelling of 30394435600 in words is "thirty billion, three hundred ninety-four million, four hundred thirty-five thousand, six hundred".