3288480878592 has 832 divisors, whose sum is σ = 12512933314560. Its totient is φ = 829524934656.

The previous prime is 3288480878591. The next prime is 3288480878593. The reversal of 3288480878592 is 2958780848823.

3288480878592 is a `hidden beast` number, since 3 + 28 + 8 + 4 + 8 + 0 + 8 + 7 + 8 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (3288480878591) and next prime (3288480878593).

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3288480878592.

It is not an unprimeable number, because it can be changed into a prime (3288480878591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231461953 + ... + 231476159.

Almost surely, 2^{3288480878592} is an apocalyptic number.

3288480878592 is a gapful number since it is divisible by the number (32) 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 3288480878592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256466657280).

3288480878592 is an abundant number, since it is smaller than the sum of its proper divisors (9224452435968).

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

3288480878592 is a wasteful number, since it uses less digits than its factorization.

3288480878592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14283 (or 14255 counting only the distinct ones).

The product of its (nonzero) digits is 495452160, while the sum is 72.

The spelling of 3288480878592 in words is "three trillion, two hundred eighty-eight billion, four hundred eighty million, eight hundred seventy-eight thousand, five hundred ninety-two".