30704402432 has 110 divisors (see below), whose sum is σ = 67549249815. Its totient is φ = 13956546560.

The previous prime is 30704402411. The next prime is 30704402447. The reversal of 30704402432 is 23420440703.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 15352201216 + 15352201216 = 123904^2 + 123904^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=123904.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30704402395 and 30704402404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 2791309307 + ... + 2791309317.

Almost surely, 2^30704402432 is an apocalyptic number.

30704402432 is a gapful number since it is divisible by the number (32) 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 30704402432

30704402432 is an abundant number, since it is smaller than the sum of its proper divisors (36844847383).

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

30704402432 is an frugal number, since it uses more digits than its factorization.

30704402432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 13 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 29.

The spelling of 30704402432 in words is "thirty billion, seven hundred four million, four hundred two thousand, four hundred thirty-two".