30311982720 has 192 divisors, whose sum is σ = 106106387400. Its totient is φ = 7972356096.

The previous prime is 30311982667. The next prime is 30311982791. The reversal of 30311982720 is 2728911303.

It can be written as a sum of positive squares in 4 ways, for example, as 27846264384 + 2465718336 = 166872^2 + 49656^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 384436 + ... + 456524.

Almost surely, 2^30311982720 is an apocalyptic number.

30311982720 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 30311982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53053193700).

30311982720 is an abundant number, since it is smaller than the sum of its proper divisors (75794404680).

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

30311982720 is a wasteful number, since it uses less digits than its factorization.

30311982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72187 (or 72172 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 30311982720 in words is "thirty billion, three hundred eleven million, nine hundred eighty-two thousand, seven hundred twenty".