3205234560 has 256 divisors, whose sum is σ = 11386137600. Its totient is φ = 760258560.

The previous prime is 3205234547. The next prime is 3205234561. The reversal of 3205234560 is 654325023.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205234561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 991026 + ... + 994254.

It is an arithmetic number, because the mean of its divisors is an integer number (44477100).

Almost surely, 2^3205234560 is an apocalyptic number.

3205234560 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 3205234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5693068800).

3205234560 is an abundant number, since it is smaller than the sum of its proper divisors (8180903040).

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

3205234560 is a wasteful number, since it uses less digits than its factorization.

3205234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3309 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 3205234560 is about 56614.7910002324. The cubic root of 3205234560 is about 1474.4156735557.

Adding to 3205234560 its reverse (654325023), we get a palindrome (3859559583).

The spelling of 3205234560 in words is "three billion, two hundred five million, two hundred thirty-four thousand, five hundred sixty".