3229009920 has 480 divisors, whose sum is σ = 12308095800. Its totient is φ = 806879232.

The previous prime is 3229009919. The next prime is 3229009939. The reversal of 3229009920 is 299009223.

It can be written as a sum of positive squares in 4 ways, for example, as 3218973696 + 10036224 = 56736^2 + 3168^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14100366 + ... + 14100594.

Almost surely, 2^3229009920 is an apocalyptic number.

3229009920 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 3229009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6154047900).

3229009920 is an abundant number, since it is smaller than the sum of its proper divisors (9079085880).

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

3229009920 is a wasteful number, since it uses less digits than its factorization.

3229009920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3229009920 is about 56824.3778672499. The cubic root of 3229009920 is about 1478.0522710604.

The spelling of 3229009920 in words is "three billion, two hundred twenty-nine million, nine thousand, nine hundred twenty".