3582828336 has 80 divisors (see below), whose sum is σ = 9966326400. Its totient is φ = 1104958464.

The previous prime is 3582828311. The next prime is 3582828343. The reversal of 3582828336 is 6338282853.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10935 + ... + 85353.

It is an arithmetic number, because the mean of its divisors is an integer number (124579080).

Almost surely, 2^3582828336 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 3582828336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4983163200).

3582828336 is an abundant number, since it is smaller than the sum of its proper divisors (6383498064).

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

3582828336 is a wasteful number, since it uses less digits than its factorization.

3582828336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74506 (or 74500 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 3582828336 is about 59856.7317517420. The cubic root of 3582828336 is about 1530.1781637116.

The spelling of 3582828336 in words is "three billion, five hundred eighty-two million, eight hundred twenty-eight thousand, three hundred thirty-six".