3242724000 has 384 divisors, whose sum is σ = 11472814080. Its totient is φ = 798336000.

The previous prime is 3242723947. The next prime is 3242724013. The reversal of 3242724000 is 4272423.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8555811 + ... + 8556189.

It is an arithmetic number, because the mean of its divisors is an integer number (29877120).

Almost surely, 2^3242724000 is an apocalyptic number.

3242724000 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 3242724000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736407040).

3242724000 is an abundant number, since it is smaller than the sum of its proper divisors (8230090080).

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

3242724000 is a wasteful number, since it uses less digits than its factorization.

3242724000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 3242724000 is about 56944.9207568155. The cubic root of 3242724000 is about 1480.1418174305.

Adding to 3242724000 its reverse (4272423), we get a palindrome (3246996423).

The spelling of 3242724000 in words is "three billion, two hundred forty-two million, seven hundred twenty-four thousand".