30434935680 has 256 divisors, whose sum is σ = 113464800000. Its totient is φ = 7688742912.

The previous prime is 30434935669. The next prime is 30434935691. The reversal of 30434935680 is 8653943403.

30434935680 is a `hidden beast` number, since 3 + 0 + 43 + 49 + 3 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (30434935669) and next prime (30434935691).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281971 + ... + 374669.

It is an arithmetic number, because the mean of its divisors is an integer number (443221875).

Almost surely, 2^30434935680 is an apocalyptic number.

30434935680 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 30434935680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56732400000).

30434935680 is an abundant number, since it is smaller than the sum of its proper divisors (83029864320).

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

30434935680 is a wasteful number, since it uses less digits than its factorization.

30434935680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92746 (or 92728 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 30434935680 in words is "thirty billion, four hundred thirty-four million, nine hundred thirty-five thousand, six hundred eighty".