3225324960 has 768 divisors, whose sum is σ = 13899755520. Its totient is φ = 687329280.

The previous prime is 3225324943. The next prime is 3225324961. The reversal of 3225324960 is 694235223.

It is a happy number.

3225324960 is a `hidden beast` number, since 3 + 22 + 532 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3225324961) 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 127 ways as a sum of consecutive naturals, for example, 14208367 + ... + 14208593.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^3225324960 is an apocalyptic number.

3225324960 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 3225324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949877760).

3225324960 is an abundant number, since it is smaller than the sum of its proper divisors (10674430560).

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

3225324960 is a wasteful number, since it uses less digits than its factorization.

3225324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3225324960 is about 56791.9444991981. The cubic root of 3225324960 is about 1477.4898038411.

The spelling of 3225324960 in words is "three billion, two hundred twenty-five million, three hundred twenty-four thousand, nine hundred sixty".