3229824 has 64 divisors (see below), whose sum is σ = 9253440. Its totient is φ = 992256.

The previous prime is 3229823. The next prime is 3229843. The reversal of 3229824 is 4289223.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 3229791 and 3229800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3229823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4669 + ... + 5315.

It is an arithmetic number, because the mean of its divisors is an integer number (144585).

Almost surely, 2^3229824 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 3229824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4626720).

3229824 is an abundant number, since it is smaller than the sum of its proper divisors (6023616).

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

3229824 is a wasteful number, since it uses less digits than its factorization.

3229824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 665 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 3229824 is about 1797.1711103843. The cubic root of 3229824 is about 147.8176473393.

The spelling of 3229824 in words is "three million, two hundred twenty-nine thousand, eight hundred twenty-four".