3824352000 has 648 divisors, whose sum is σ = 16066919232. Its totient is φ = 870912000.

The previous prime is 3824351987. The next prime is 3824352019. The reversal of 3824352000 is 2534283.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 14111865 + ... + 14112135.

Almost surely, 2^3824352000 is an apocalyptic number.

3824352000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3824352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8033459616).

3824352000 is an abundant number, since it is smaller than the sum of its proper divisors (12242567232).

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

3824352000 is a wasteful number, since it uses less digits than its factorization.

3824352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3824352000 is about 61841.3453928680. The cubic root of 3824352000 is about 1563.8170825426.

Adding to 3824352000 its reverse (2534283), we get a palindrome (3826886283).

The spelling of 3824352000 in words is "three billion, eight hundred twenty-four million, three hundred fifty-two thousand".