30431974104 has 480 divisors, whose sum is σ = 104878540800. Its totient is φ = 8207256960.

The previous prime is 30431974049. The next prime is 30431974109. The reversal of 30431974104 is 40147913403.

30431974104 is a `hidden beast` number, since 30 + 431 + 97 + 4 + 104 = 666.

It is a super-2 number, since 2×30431974104² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30431974109) 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 119 ways as a sum of consecutive naturals, for example, 42325057 + ... + 42325775.

It is an arithmetic number, because the mean of its divisors is an integer number (218496960).

Almost surely, 2^30431974104 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 30431974104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52439270400).

30431974104 is an abundant number, since it is smaller than the sum of its proper divisors (74446566696).

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

30431974104 is a wasteful number, since it uses less digits than its factorization.

30431974104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 805 counting only the distinct ones).

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

The spelling of 30431974104 in words is "thirty billion, four hundred thirty-one million, nine hundred seventy-four thousand, one hundred four".