3205224000 has 896 divisors, whose sum is σ = 13694054400. Its totient is φ = 725760000.

The previous prime is 3205223993. The next prime is 3205224007. The reversal of 3205224000 is 4225023.

3205224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3205223993) and next prime (3205224007).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3205224007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45143965 + ... + 45144035.

Almost surely, 2^3205224000 is an apocalyptic number.

3205224000 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 3205224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6847027200).

3205224000 is an abundant number, since it is smaller than the sum of its proper divisors (10488830400).

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

3205224000 is a wasteful number, since it uses less digits than its factorization.

3205224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 3205224000 is about 56614.6977383082. The cubic root of 3205224000 is about 1474.4140543454.

Adding to 3205224000 its reverse (4225023), we get a palindrome (3209449023).

The spelling of 3205224000 in words is "three billion, two hundred five million, two hundred twenty-four thousand".