3219264 has 112 divisors (see below), whose sum is σ = 9997440. Its totient is φ = 1026432.

The previous prime is 3219253. The next prime is 3219269. The reversal of 3219264 is 4629123.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3219269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139957 + ... + 139979.

Almost surely, 2^3219264 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 3219264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4998720).

3219264 is an abundant number, since it is smaller than the sum of its proper divisors (6778176).

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

3219264 is an frugal number, since it uses more digits than its factorization.

3219264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 3219264 is about 1794.2307543903. The cubic root of 3219264 is about 147.6563734693.

The spelling of 3219264 in words is "three million, two hundred nineteen thousand, two hundred sixty-four".