30818304000 has 864 divisors, whose sum is σ = 127590240960. Its totient is φ = 7077888000.

The previous prime is 30818303993. The next prime is 30818304001. The reversal of 30818304000 is 40381803.

It is a super-2 number, since 2×30818304000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30818304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622015991 + ... + 1622016009.

It is an arithmetic number, because the mean of its divisors is an integer number (147673890).

Almost surely, 2^30818304000 is an apocalyptic number.

30818304000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30818304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63795120480).

30818304000 is an abundant number, since it is smaller than the sum of its proper divisors (96771936960).

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

30818304000 is an equidigital number, since it uses as much as digits as its factorization.

30818304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 30818304000 its reverse (40381803), we get a palindrome (30858685803).

The spelling of 30818304000 in words is "thirty billion, eight hundred eighteen million, three hundred four thousand".