3205241200 has 240 divisors, whose sum is σ = 9390738240. Its totient is φ = 1029857280.

The previous prime is 3205241173. The next prime is 3205241203. The reversal of 3205241200 is 21425023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205241203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13756284 + ... + 13756516.

It is an arithmetic number, because the mean of its divisors is an integer number (39128076).

Almost surely, 2^3205241200 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 3205241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4695369120).

3205241200 is an abundant number, since it is smaller than the sum of its proper divisors (6185497040).

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

3205241200 is a wasteful number, since it uses less digits than its factorization.

3205241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 3205241200 is about 56614.8496421213. The cubic root of 3205241200 is about 1474.4166916937.

Adding to 3205241200 its reverse (21425023), we get a palindrome (3226666223).

The spelling of 3205241200 in words is "three billion, two hundred five million, two hundred forty-one thousand, two hundred".