30003980800 has 120 divisors (see below), whose sum is σ = 76347525276. Its totient is φ = 11677040640.

The previous prime is 30003980789. The next prime is 30003980807. The reversal of 30003980800 is 808930003.

It can be written as a sum of positive squares in 6 ways, for example, as 23637217536 + 6366763264 = 153744^2 + 79792^2 .

It is not an unprimeable number, because it can be changed into a prime (30003980807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441924 + ... + 505276.

Almost surely, 2^30003980800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30003980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38173762638).

30003980800 is an abundant number, since it is smaller than the sum of its proper divisors (46343544476).

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

30003980800 is an equidigital number, since it uses as much as digits as its factorization.

30003980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63418 (or 63397 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The spelling of 30003980800 in words is "thirty billion, three million, nine hundred eighty thousand, eight hundred".