30809724300 has 144 divisors (see below), whose sum is σ = 99167402880. Its totient is φ = 8205986880.

The previous prime is 30809724271. The next prime is 30809724301. The reversal of 30809724300 is 342790803.

It is a super-2 number, since 2×30809724300² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (30809724301) 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 47 ways as a sum of consecutive naturals, for example, 2377639 + ... + 2390561.

It is an arithmetic number, because the mean of its divisors is an integer number (688662520).

Almost surely, 2^30809724300 is an apocalyptic number.

30809724300 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 30809724300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49583701440).

30809724300 is an abundant number, since it is smaller than the sum of its proper divisors (68357678580).

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

30809724300 is a wasteful number, since it uses less digits than its factorization.

30809724300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13829 (or 13816 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30809724300 in words is "thirty billion, eight hundred nine million, seven hundred twenty-four thousand, three hundred".