3242280960 has 288 divisors, whose sum is σ = 11662297920. Its totient is φ = 863944704.

The previous prime is 3242280893. The next prime is 3242280971. The reversal of 3242280960 is 690822423.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2487669 + ... + 2488971.

It is an arithmetic number, because the mean of its divisors is an integer number (40494090).

Almost surely, 2^3242280960 is an apocalyptic number.

3242280960 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 3242280960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831148960).

3242280960 is an abundant number, since it is smaller than the sum of its proper divisors (8420016960).

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

3242280960 is an equidigital number, since it uses as much as digits as its factorization.

3242280960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1345 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3242280960 is about 56941.0305491567. The cubic root of 3242280960 is about 1480.0744058039.

The spelling of 3242280960 in words is "three billion, two hundred forty-two million, two hundred eighty thousand, nine hundred sixty".