3382833828 has 48 divisors (see below), whose sum is σ = 8614851840. Its totient is φ = 1024624800.

The previous prime is 3382833821. The next prime is 3382833833. The reversal of 3382833828 is 8283382833.

It is a super-2 number, since 2×3382833828² = 22887129415722267168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3382833821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367563 + ... + 376653.

It is an arithmetic number, because the mean of its divisors is an integer number (179476080).

Almost surely, 2^3382833828 is an apocalyptic number.

It is an amenable number.

3382833828 is an abundant number, since it is smaller than the sum of its proper divisors (5232018012).

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

3382833828 is a wasteful number, since it uses less digits than its factorization.

3382833828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11928 (or 11926 counting only the distinct ones).

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

The square root of 3382833828 is about 58162.1339704795. The cubic root of 3382833828 is about 1501.1596703232.

The spelling of 3382833828 in words is "three billion, three hundred eighty-two million, eight hundred thirty-three thousand, eight hundred twenty-eight".