30004728940 has 144 divisors (see below), whose sum is σ = 68827963680. Its totient is φ = 10956072960.

The previous prime is 30004728907. The next prime is 30004728953. The reversal of 30004728940 is 4982740003.

It is a happy number.

It is a super-3 number, since 3×30004728940³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 30004728940.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71269930 + ... + 71270350.

It is an arithmetic number, because the mean of its divisors is an integer number (477971970).

Almost surely, 2^30004728940 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 30004728940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34413981840).

30004728940 is an abundant number, since it is smaller than the sum of its proper divisors (38823234740).

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

30004728940 is a wasteful number, since it uses less digits than its factorization.

30004728940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 30004728940 in words is "thirty billion, four million, seven hundred twenty-eight thousand, nine hundred forty".