3242848000 has 288 divisors, whose sum is σ = 9550614528. Its totient is φ = 1073664000.

The previous prime is 3242847989. The next prime is 3242848013. The reversal of 3242848000 is 8482423.

It is a super-2 number, since 2×3242848000² = 21032126302208000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6943767 + ... + 6944233.

It is an arithmetic number, because the mean of its divisors is an integer number (33161856).

Almost surely, 2^3242848000 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 3242848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775307264).

3242848000 is an abundant number, since it is smaller than the sum of its proper divisors (6307766528).

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

3242848000 is an equidigital number, since it uses as much as digits as its factorization.

3242848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 3242848000 is about 56946.0095177880. The cubic root of 3242848000 is about 1480.1606837957.

The spelling of 3242848000 in words is "three billion, two hundred forty-two million, eight hundred forty-eight thousand".