3283838272 has 56 divisors (see below), whose sum is σ = 7655612832. Its totient is φ = 1377830400.

The previous prime is 3283838209. The next prime is 3283838273. The reversal of 3283838272 is 2728383823.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3283838273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170254 + ... + 188557.

It is an arithmetic number, because the mean of its divisors is an integer number (136707372).

Almost surely, 2^3283838272 is an apocalyptic number.

3283838272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3283838272 is an abundant number, since it is smaller than the sum of its proper divisors (4371774560).

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

3283838272 is a wasteful number, since it uses less digits than its factorization.

3283838272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358847 (or 358837 counting only the distinct ones).

The product of its digits is 774144, while the sum is 46.

The square root of 3283838272 is about 57304.7840236747. The cubic root of 3283838272 is about 1486.3711026264.

The spelling of 3283838272 in words is "three billion, two hundred eighty-three million, eight hundred thirty-eight thousand, two hundred seventy-two".