3229920 has 72 divisors (see below), whose sum is σ = 11027016. Its totient is φ = 860928.

The previous prime is 3229909. The next prime is 3229927. The reversal of 3229920 is 299223.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3229927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 319 + ... + 2561.

It is an arithmetic number, because the mean of its divisors is an integer number (153153).

Almost surely, 2^3229920 is an apocalyptic number.

3229920 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 3229920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5513508).

3229920 is an abundant number, since it is smaller than the sum of its proper divisors (7797096).

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

3229920 is a wasteful number, since it uses less digits than its factorization.

3229920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3229920 is about 1797.1978188280. The cubic root of 3229920 is about 147.8191118518.

The spelling of 3229920 in words is "three million, two hundred twenty-nine thousand, nine hundred twenty".