3233821344 has 192 divisors, whose sum is σ = 9633302784. Its totient is φ = 942391296.

The previous prime is 3233821271. The next prime is 3233821373. The reversal of 3233821344 is 4431283323.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3243054 + ... + 3244050.

It is an arithmetic number, because the mean of its divisors is an integer number (50173452).

Almost surely, 2^3233821344 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 3233821344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4816651392).

3233821344 is an abundant number, since it is smaller than the sum of its proper divisors (6399481440).

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

3233821344 is a wasteful number, since it uses less digits than its factorization.

3233821344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 3233821344 is about 56866.6980226565. The cubic root of 3233821344 is about 1478.7860364207.

The spelling of 3233821344 in words is "three billion, two hundred thirty-three million, eight hundred twenty-one thousand, three hundred forty-four".