30013696800 has 288 divisors, whose sum is σ = 108768663360. Its totient is φ = 7987507200.

The previous prime is 30013696729. The next prime is 30013696819. The reversal of 30013696800 is 869631003.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13887720 + ... + 13889880.

It is an arithmetic number, because the mean of its divisors is an integer number (377668970).

Almost surely, 2^30013696800 is an apocalyptic number.

30013696800 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 30013696800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54384331680).

30013696800 is an abundant number, since it is smaller than the sum of its proper divisors (78754966560).

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

30013696800 is a wasteful number, since it uses less digits than its factorization.

30013696800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The spelling of 30013696800 in words is "thirty billion, thirteen million, six hundred ninety-six thousand, eight hundred".