3283833828 has 96 divisors (see below), whose sum is σ = 8598159360. Its totient is φ = 966816000.

The previous prime is 3283833827. The next prime is 3283833871. The reversal of 3283833828 is 8283383823.

It is not an unprimeable number, because it can be changed into a prime (3283833827) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1465533 + ... + 1467771.

It is an arithmetic number, because the mean of its divisors is an integer number (89564160).

Almost surely, 2^3283833828 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 3283833828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299079680).

3283833828 is an abundant number, since it is smaller than the sum of its proper divisors (5314325532).

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

3283833828 is a wasteful number, since it uses less digits than its factorization.

3283833828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2569 (or 2567 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The square root of 3283833828 is about 57304.7452485394. The cubic root of 3283833828 is about 1486.3704321269.

It can be divided in two parts, 32838 and 33828, that added together give a palindrome (66666).

The spelling of 3283833828 in words is "three billion, two hundred eighty-three million, eight hundred thirty-three thousand, eight hundred twenty-eight".