30001000008 has 128 divisors (see below), whose sum is σ = 86438016000. Its totient is φ = 8499912960.

The previous prime is 30000999997. The next prime is 30001000009. The reversal of 30001000008 is 80000010003.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 30000999957 and 30001000002.

It is not an unprimeable number, because it can be changed into a prime (30001000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12598978 + ... + 12601358.

It is an arithmetic number, because the mean of its divisors is an integer number (675297000).

Almost surely, 2^30001000008 is an apocalyptic number.

30001000008 is the 100002-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30001000008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43219008000).

30001000008 is an abundant number, since it is smaller than the sum of its proper divisors (56437015992).

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

30001000008 is a wasteful number, since it uses less digits than its factorization.

30001000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The spelling of 30001000008 in words is "thirty billion, one million, eight", and thus it is an aban number and an uban number.