3240787968 has 384 divisors, whose sum is σ = 10877761440. Its totient is φ = 955514880.

The previous prime is 3240787967. The next prime is 3240787987. The reversal of 3240787968 is 8697870423.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (3240787967) by changing a digit.

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, 87588846 + ... + 87588882.

Almost surely, 2^3240787968 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 3240787968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5438880720).

3240787968 is an abundant number, since it is smaller than the sum of its proper divisors (7636973472).

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

3240787968 is an frugal number, since it uses more digits than its factorization.

3240787968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 3240787968 is about 56927.9190555917. The cubic root of 3240787968 is about 1479.8471914304.

The spelling of 3240787968 in words is "three billion, two hundred forty million, seven hundred eighty-seven thousand, nine hundred sixty-eight".