3240480768 has 208 divisors, whose sum is σ = 9999048576. Its totient is φ = 914227200.

The previous prime is 3240480751. The next prime is 3240480779. The reversal of 3240480768 is 8670840423.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8687430 + ... + 8687802.

Almost surely, 2^3240480768 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 3240480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4999524288).

3240480768 is an abundant number, since it is smaller than the sum of its proper divisors (6758567808).

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

3240480768 is a wasteful number, since it uses less digits than its factorization.

3240480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3240480768 is about 56925.2208427864. The cubic root of 3240480768 is about 1479.8004308456.

The spelling of 3240480768 in words is "three billion, two hundred forty million, four hundred eighty thousand, seven hundred sixty-eight".