3228916992 has 144 divisors (see below), whose sum is σ = 9847108992. Its totient is φ = 920125440.

The previous prime is 3228916963. The next prime is 3228917009. The reversal of 3228916992 is 2996198223.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3445548 + ... + 3446484.

Almost surely, 2^3228916992 is an apocalyptic number.

3228916992 is a gapful number since it is divisible by the number (32) 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 3228916992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923554496).

3228916992 is an abundant number, since it is smaller than the sum of its proper divisors (6618192000).

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

3228916992 is an equidigital number, since it uses as much as digits as its factorization.

3228916992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1590 counting only the distinct ones).

The product of its digits is 839808, while the sum is 51.

The square root of 3228916992 is about 56823.5601841349. The cubic root of 3228916992 is about 1478.0380919195.

The spelling of 3228916992 in words is "three billion, two hundred twenty-eight million, nine hundred sixteen thousand, nine hundred ninety-two".