3200819328 has 384 divisors, whose sum is σ = 11141370240. Its totient is φ = 895795200.

The previous prime is 3200819327. The next prime is 3200819351. The reversal of 3200819328 is 8239180023.

It is a happy number.

3200819328 is a `hidden beast` number, since 320 + 0 + 8 + 1 + 9 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 3200819292 and 3200819301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3200819327) 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, 13281288 + ... + 13281528.

It is an arithmetic number, because the mean of its divisors is an integer number (29013985).

Almost surely, 2^3200819328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3200819328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5570685120).

3200819328 is an abundant number, since it is smaller than the sum of its proper divisors (7940550912).

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

3200819328 is an equidigital number, since it uses as much as digits as its factorization.

3200819328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3200819328 is about 56575.7839362390. The cubic root of 3200819328 is about 1473.7383566471.

The spelling of 3200819328 in words is "three billion, two hundred million, eight hundred nineteen thousand, three hundred twenty-eight".