30811372704 has 384 divisors, whose sum is σ = 105864192000. Its totient is φ = 8536679424.

The previous prime is 30811372703. The next prime is 30811372717. The reversal of 30811372704 is 40727311803.

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 (30811372703) 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 63 ways as a sum of consecutive naturals, for example, 28189182 + ... + 28190274.

It is an arithmetic number, because the mean of its divisors is an integer number (275688000).

Almost surely, 2^30811372704 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 30811372704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52932096000).

30811372704 is an abundant number, since it is smaller than the sum of its proper divisors (75052819296).

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

30811372704 is a wasteful number, since it uses less digits than its factorization.

30811372704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 30811372704 in words is "thirty billion, eight hundred eleven million, three hundred seventy-two thousand, seven hundred four".