30020413696 has 405 divisors, whose sum is σ = 80412483291. Its totient is φ = 11177607168.

The previous prime is 30020413667. The next prime is 30020413699. The reversal of 30020413696 is 69631402003.

It is a happy number.

The square root of 30020413696 is 173264.

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 271063296 + 29749350400 = 16464^2 + 172480^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (30020413699) 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 44 ways as a sum of consecutive naturals, for example, 1765906680 + ... + 1765906696.

Almost surely, 2^30020413696 is an apocalyptic number.

30020413696 is the 173264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30020413696

30020413696 is an abundant number, since it is smaller than the sum of its proper divisors (50392069595).

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

30020413696 is an frugal number, since it uses more digits than its factorization.

30020413696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

Adding to 30020413696 its reverse (69631402003), we get a palindrome (99651815699).

The spelling of 30020413696 in words is "thirty billion, twenty million, four hundred thirteen thousand, six hundred ninety-six".