3205430320 has 80 divisors (see below), whose sum is σ = 7778475360. Its totient is φ = 1226903552.

The previous prime is 3205430309. The next prime is 3205430323. The reversal of 3205430320 is 230345023.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3205430291 and 3205430300.

It is not an unprimeable number, because it can be changed into a prime (3205430323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256047 + ... + 268273.

It is an arithmetic number, because the mean of its divisors is an integer number (97230942).

Almost surely, 2^3205430320 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 3205430320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3889237680).

3205430320 is an abundant number, since it is smaller than the sum of its proper divisors (4573045040).

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

3205430320 is a wasteful number, since it uses less digits than its factorization.

3205430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12382 (or 12376 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 22.

The square root of 3205430320 is about 56616.5198506584. The cubic root of 3205430320 is about 1474.4456896363.

Adding to 3205430320 its reverse (230345023), we get a palindrome (3435775343).

The spelling of 3205430320 in words is "three billion, two hundred five million, four hundred thirty thousand, three hundred twenty".