3288287640672 has 144 divisors (see below), whose sum is σ = 9833988632832. Its totient is φ = 1080657728640.

The previous prime is 3288287640661. The next prime is 3288287640713. The reversal of 3288287640672 is 2760467828823.

3288287640672 is a `hidden beast` number, since 3 + 2 + 8 + 82 + 87 + 6 + 406 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×3288287640672³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2425908 + ... + 3530099.

It is an arithmetic number, because the mean of its divisors is an integer number (68291587728).

Almost surely, 2^{3288287640672} is an apocalyptic number.

3288287640672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3288287640672 is an abundant number, since it is smaller than the sum of its proper divisors (6545700992160).

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

3288287640672 is an equidigital number, since it uses as much as digits as its factorization.

3288287640672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5956103 (or 5956083 counting only the distinct ones).

The product of its (nonzero) digits is 86704128, while the sum is 63.

The spelling of 3288287640672 in words is "three trillion, two hundred eighty-eight billion, two hundred eighty-seven million, six hundred forty thousand, six hundred seventy-two".