3228960 has 144 divisors (see below), whose sum is σ = 12011328. Its totient is φ = 714240.

The previous prime is 3228959. The next prime is 3228961. The reversal of 3228960 is 698223.

3228960 = T₄₅ + T₄₆ + ... + T₂₆₈.

It is an interprime number because it is at equal distance from previous prime (3228959) and next prime (3228961).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104145 + ... + 104175.

It is an arithmetic number, because the mean of its divisors is an integer number (83412).

Almost surely, 2^3228960 is an apocalyptic number.

3228960 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 3228960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6005664).

3228960 is an abundant number, since it is smaller than the sum of its proper divisors (8782368).

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

3228960 is a wasteful number, since it uses less digits than its factorization.

3228960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3228960 is about 1796.9307165275. The cubic root of 3228960 is about 147.8044654200.

The spelling of 3228960 in words is "three million, two hundred twenty-eight thousand, nine hundred sixty".