3228384960 has 336 divisors, whose sum is σ = 11506809600. Its totient is φ = 830269440.

The previous prime is 3228384953. The next prime is 3228384997. The reversal of 3228384960 is 694838223.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16222941 + ... + 16223139.

Almost surely, 2^3228384960 is an apocalyptic number.

3228384960 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 3228384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5753404800).

3228384960 is an abundant number, since it is smaller than the sum of its proper divisors (8278424640).

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

3228384960 is a wasteful number, since it uses less digits than its factorization.

3228384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 3228384960 is about 56818.8785528190. The cubic root of 3228384960 is about 1477.9569081709.

The spelling of 3228384960 in words is "three billion, two hundred twenty-eight million, three hundred eighty-four thousand, nine hundred sixty".