30382581636 has 243 divisors, whose sum is σ = 89739400023. Its totient is φ = 8659522080.

The previous prime is 30382581631. The next prime is 30382581643. The reversal of 30382581636 is 63618528303.

The square root of 30382581636 is 174306.

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

30382581636 is a `hidden beast` number, since 3 + 0 + 3 + 8 + 2 + 5 + 8 + 1 + 636 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30382581591 and 30382581600.

It is not an unprimeable number, because it can be changed into a prime (30382581631) 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 80 ways as a sum of consecutive naturals, for example, 218579655 + ... + 218579793.

Almost surely, 2^30382581636 is an apocalyptic number.

30382581636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30382581636 is the 174306-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30382581636

30382581636 is an abundant number, since it is smaller than the sum of its proper divisors (59356818387).

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

30382581636 is a wasteful number, since it uses less digits than its factorization.

30382581636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 30382581636 in words is "thirty billion, three hundred eighty-two million, five hundred eighty-one thousand, six hundred thirty-six".