30009325824 has 189 divisors, whose sum is σ = 90035583169. Its totient is φ = 9978163200.

The previous prime is 30009325811. The next prime is 30009325847. The reversal of 30009325824 is 42852390003.

The square root of 30009325824 is 173232.

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

30009325824 is a `hidden beast` number, since 300 + 0 + 9 + 325 + 8 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29710727424 + 298598400 = 172368^2 + 17280^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 74836024 + ... + 74836424.

Almost surely, 2^30009325824 is an apocalyptic number.

30009325824 is the 173232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30009325824

30009325824 is an abundant number, since it is smaller than the sum of its proper divisors (60026257345).

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

30009325824 is an frugal number, since it uses more digits than its factorization.

30009325824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 30009325824 by its sum of digits (36), we get a square (1080335729664 = 1039392²).

30009325824 divided by its sum of digits (36) gives a square (833592384 = 28872²).

It can be divided in two parts, 3000932 and 5824, that added together give a square (3006756 = 1734²).

The spelling of 30009325824 in words is "thirty billion, nine million, three hundred twenty-five thousand, eight hundred twenty-four".