30284352576 has 105 divisors (see below), whose sum is σ = 89809465669. Its totient is φ = 10090607616.

The previous prime is 30284352559. The next prime is 30284352589. The reversal of 30284352576 is 67525348203.

The square root of 30284352576 is 174024.

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

30284352576 is a `hidden beast` number, since 3 + 0 + 28 + 4 + 3 + 52 + 576 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29487758400 + 796594176 = 171720^2 + 28224^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 12528520 + ... + 12530936.

Almost surely, 2^30284352576 is an apocalyptic number.

30284352576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30284352576 is the 174024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30284352576

30284352576 is an abundant number, since it is smaller than the sum of its proper divisors (59525113093).

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

30284352576 is an frugal number, since it uses more digits than its factorization.

30284352576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 30284352576 in words is "thirty billion, two hundred eighty-four million, three hundred fifty-two thousand, five hundred seventy-six".