3225201000 has 256 divisors, whose sum is σ = 11613888000. Its totient is φ = 729907200.

The previous prime is 3225200903. The next prime is 3225201017. The reversal of 3225201000 is 1025223.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2288296 + ... + 2289704.

It is an arithmetic number, because the mean of its divisors is an integer number (45366750).

Almost surely, 2^3225201000 is an apocalyptic number.

3225201000 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 3225201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806944000).

3225201000 is an abundant number, since it is smaller than the sum of its proper divisors (8388687000).

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

3225201000 is a wasteful number, since it uses less digits than its factorization.

3225201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 3225201000 is about 56790.8531367508. The cubic root of 3225201000 is about 1477.4708753109.

Adding to 3225201000 its reverse (1025223), we get a palindrome (3226226223).

The spelling of 3225201000 in words is "three billion, two hundred twenty-five million, two hundred one thousand".