3228000 has 96 divisors (see below), whose sum is σ = 10614240. Its totient is φ = 857600.

The previous prime is 3227989. The next prime is 3228023. The reversal of 3228000 is 8223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 11866 + ... + 12134.

It is an arithmetic number, because the mean of its divisors is an integer number (110565).

Almost surely, 2^3228000 is an apocalyptic number.

3228000 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 3228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120).

3228000 is an abundant number, since it is smaller than the sum of its proper divisors (7386240).

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

3228000 is a wasteful number, since it uses less digits than its factorization.

3228000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3228000 is about 1796.6635745181. The cubic root of 3228000 is about 147.7898160849.

The spelling of 3228000 in words is "three million, two hundred twenty-eight thousand".