3205532000 has 288 divisors, whose sum is σ = 8940728160. Its totient is φ = 1127808000.

The previous prime is 3205531969. The next prime is 3205532003. The reversal of 3205532000 is 2355023.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205532003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17907911 + ... + 17908089.

It is an arithmetic number, because the mean of its divisors is an integer number (31044195).

Almost surely, 2^3205532000 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 3205532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4470364080).

3205532000 is an abundant number, since it is smaller than the sum of its proper divisors (5735196160).

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

3205532000 is a wasteful number, since it uses less digits than its factorization.

3205532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 3205532000 is about 56617.4178146619. The cubic root of 3205532000 is about 1474.4612798522.

Adding to 3205532000 its reverse (2355023), we get a palindrome (3207887023).

The spelling of 3205532000 in words is "three billion, two hundred five million, five hundred thirty-two thousand".