3284123136 has 320 divisors, whose sum is σ = 10559324160. Its totient is φ = 887316480.

The previous prime is 3284123131. The next prime is 3284123159. The reversal of 3284123136 is 6313214823.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3284123097 and 3284123106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3284123131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19665325 + ... + 19665491.

It is an arithmetic number, because the mean of its divisors is an integer number (32997888).

Almost surely, 2^3284123136 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 3284123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5279662080).

3284123136 is an abundant number, since it is smaller than the sum of its proper divisors (7275201024).

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

3284123136 is a wasteful number, since it uses less digits than its factorization.

3284123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 269 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 3284123136 is about 57307.2694865145. The cubic root of 3284123136 is about 1486.4140809280.

Adding to 3284123136 its reverse (6313214823), we get a palindrome (9597337959).

The spelling of 3284123136 in words is "three billion, two hundred eighty-four million, one hundred twenty-three thousand, one hundred thirty-six".