3225543120 has 240 divisors, whose sum is σ = 11293027200. Its totient is φ = 855608832.

The previous prime is 3225543091. The next prime is 3225543121. The reversal of 3225543120 is 213455223.

It is a happy number.

3225543120 is a `hidden beast` number, since 3 + 225 + 5 + 431 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3225543121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5384581 + ... + 5385179.

It is an arithmetic number, because the mean of its divisors is an integer number (47054280).

Almost surely, 2^3225543120 is an apocalyptic number.

3225543120 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 3225543120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646513600).

3225543120 is an abundant number, since it is smaller than the sum of its proper divisors (8067484080).

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

3225543120 is a wasteful number, since it uses less digits than its factorization.

3225543120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3225543120 is about 56793.8651616528. The cubic root of 3225543120 is about 1477.5231154105.

Adding to 3225543120 its reverse (213455223), we get a palindrome (3438998343).

The spelling of 3225543120 in words is "three billion, two hundred twenty-five million, five hundred forty-three thousand, one hundred twenty".