3249336384 has 280 divisors, whose sum is σ = 11099645568. Its totient is φ = 920678400.

The previous prime is 3249336383. The next prime is 3249336403. The reversal of 3249336384 is 4836339423.

3249336384 is a `hidden beast` number, since 3 + 2 + 4 + 9 + 3 + 3 + 638 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3249336383) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5479192 + ... + 5479784.

Almost surely, 2^3249336384 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 3249336384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5549822784).

3249336384 is an abundant number, since it is smaller than the sum of its proper divisors (7850309184).

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

3249336384 is a wasteful number, since it uses less digits than its factorization.

3249336384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 756 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 3249336384 is about 57002.9506604702. The cubic root of 3249336384 is about 1481.1472088901.

The spelling of 3249336384 in words is "three billion, two hundred forty-nine million, three hundred thirty-six thousand, three hundred eighty-four".