30424778329 has 27 divisors (see below), whose sum is σ = 33993007293. Its totient is φ = 27210612000.

The previous prime is 30424778317. The next prime is 30424778339. The reversal of 30424778329 is 92387742403.

It is a happy number.

The square root of 30424778329 is 174427.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4035425625 + 26389352704 = 63525^2 + 162448^2 .

It is a de Polignac number, because none of the positive numbers 2^k-30424778329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (30424778309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 193788319 + ... + 193788475.

Almost surely, 2^30424778329 is an apocalyptic number.

30424778329 is the 174427-th square number.

30424778329 is the 87214-th centered octagonal number.

It is an amenable number.

30424778329 is a deficient number, since it is larger than the sum of its proper divisors (3568228964).

30424778329 is an equidigital number, since it uses as much as digits as its factorization.

30424778329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 30424778329 by its sum of digits (49), we get a square (1490814138121 = 1220989²).

The spelling of 30424778329 in words is "thirty billion, four hundred twenty-four million, seven hundred seventy-eight thousand, three hundred twenty-nine".