30844800000 has 1320 divisors, whose sum is σ = 139315020768. Its totient is φ = 6635520000.

The previous prime is 30844799981. The next prime is 30844800001. The reversal of 30844800000 is 844803.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (30844800001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1814399992 + ... + 1814400008.

Almost surely, 2^30844800000 is an apocalyptic number.

30844800000 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 30844800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69657510384).

30844800000 is an abundant number, since it is smaller than the sum of its proper divisors (108470220768).

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

30844800000 is an frugal number, since it uses more digits than its factorization.

30844800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

It can be divided in two parts, 3084 and 4800000, that added together give a palindrome (4803084).

The spelling of 30844800000 in words is "thirty billion, eight hundred forty-four million, eight hundred thousand".