3225668160 has 224 divisors, whose sum is σ = 12032479872. Its totient is φ = 721797120.

The previous prime is 3225668129. The next prime is 3225668161. The reversal of 3225668160 is 618665223.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (3225668161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125532 + ... + 149028.

It is an arithmetic number, because the mean of its divisors is an integer number (53716428).

Almost surely, 2^3225668160 is an apocalyptic number.

3225668160 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 3225668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6016239936).

3225668160 is an abundant number, since it is smaller than the sum of its proper divisors (8806811712).

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

3225668160 is a wasteful number, since it uses less digits than its factorization.

3225668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23541 (or 23531 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 3225668160 is about 56794.9659741072. The cubic root of 3225668160 is about 1477.5422075030.

The spelling of 3225668160 in words is "three billion, two hundred twenty-five million, six hundred sixty-eight thousand, one hundred sixty".