3225888 has 72 divisors (see below), whose sum is σ = 9592128. Its totient is φ = 1026432.

The previous prime is 3225883. The next prime is 3225889. The reversal of 3225888 is 8885223.

It is a tau number, because it is divible by the number of its divisors (72).

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 (3225883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6381 + ... + 6867.

It is an arithmetic number, because the mean of its divisors is an integer number (133224).

Almost surely, 2^3225888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3225888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4796064).

3225888 is an abundant number, since it is smaller than the sum of its proper divisors (6366240).

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

3225888 is a wasteful number, since it uses less digits than its factorization.

3225888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 515 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 3225888 is about 1796.0757222344. The cubic root of 3225888 is about 147.7575773210.

The spelling of 3225888 in words is "three million, two hundred twenty-five thousand, eight hundred eighty-eight".