3228736320 has 336 divisors, whose sum is σ = 11754063360. Its totient is φ = 811819008.

The previous prime is 3228736267. The next prime is 3228736327. The reversal of 3228736320 is 236378223.

It is a happy number.

3228736320 is a `hidden beast` number, since 322 + 8 + 7 + 3 + 6 + 320 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3228736327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5232652 + ... + 5233268.

Almost surely, 2^3228736320 is an apocalyptic number.

3228736320 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 3228736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877031680).

3228736320 is an abundant number, since it is smaller than the sum of its proper divisors (8525327040).

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

3228736320 is a wasteful number, since it uses less digits than its factorization.

3228736320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3228736320 is about 56821.9703987815. The cubic root of 3228736320 is about 1478.0105238444.

The spelling of 3228736320 in words is "three billion, two hundred twenty-eight million, seven hundred thirty-six thousand, three hundred twenty".