3225640320 has 384 divisors, whose sum is σ = 13205687040. Its totient is φ = 737040384.

The previous prime is 3225640309. The next prime is 3225640331. The reversal of 3225640320 is 230465223.

3225640320 is a `hidden beast` number, since 3 + 2 + 256 + 403 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3225640309) and next prime (3225640331).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

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, 1087159 + ... + 1090121.

It is an arithmetic number, because the mean of its divisors is an integer number (34389810).

Almost surely, 2^3225640320 is an apocalyptic number.

3225640320 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 3225640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602843520).

3225640320 is an abundant number, since it is smaller than the sum of its proper divisors (9980046720).

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

3225640320 is an equidigital number, since it uses as much as digits as its factorization.

3225640320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3225640320 is about 56794.7208814340. The cubic root of 3225640320 is about 1477.5379567151.

It can be divided in two parts, 3225 and 640320, that added together give a triangular number (643545 = T₁₁₃₄).

The spelling of 3225640320 in words is "three billion, two hundred twenty-five million, six hundred forty thousand, three hundred twenty".