30903721344 has 224 divisors, whose sum is σ = 94812153840. Its totient is φ = 10021708800.

The previous prime is 30903721309. The next prime is 30903721349. The reversal of 30903721344 is 44312730903.

30903721344 is a `hidden beast` number, since 309 + 0 + 3 + 7 + 2 + 1 + 344 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 30903721299 and 30903721308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30903721349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3448069 + ... + 3457019.

Almost surely, 2^30903721344 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 30903721344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47406076920).

30903721344 is an abundant number, since it is smaller than the sum of its proper divisors (63908432496).

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

30903721344 is an frugal number, since it uses more digits than its factorization.

30903721344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9020 (or 8993 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 30903721344 in words is "thirty billion, nine hundred three million, seven hundred twenty-one thousand, three hundred forty-four".