30013984000 has 576 divisors, whose sum is σ = 100495729152. Its totient is φ = 8626176000.

The previous prime is 30013983983. The next prime is 30013984003. The reversal of 30013984000 is 48931003.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 30013984000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30013984003) 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 63 ways as a sum of consecutive naturals, for example, 32031532 + ... + 32032468.

It is an arithmetic number, because the mean of its divisors is an integer number (174471752).

Almost surely, 2^30013984000 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 30013984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50247864576).

30013984000 is an abundant number, since it is smaller than the sum of its proper divisors (70481745152).

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

30013984000 is a wasteful number, since it uses less digits than its factorization.

30013984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 30013984000 in words is "thirty billion, thirteen million, nine hundred eighty-four thousand".