3288579980400 has 1080 divisors, whose sum is σ = 14219310124656. Its totient is φ = 691487539200.

The previous prime is 3288579980353. The next prime is 3288579980419. The reversal of 3288579980400 is 40899758823.

3288579980400 is a `hidden beast` number, since 3 + 2 + 8 + 85 + 79 + 9 + 80 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5364730494 + ... + 5364731106.

Almost surely, 2^{3288579980400} is an apocalyptic number.

3288579980400 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 3288579980400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109655062328).

3288579980400 is an abundant number, since it is smaller than the sum of its proper divisors (10930730144256).

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

3288579980400 is a wasteful number, since it uses less digits than its factorization.

3288579980400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 3288579980400 in words is "three trillion, two hundred eighty-eight billion, five hundred seventy-nine million, nine hundred eighty thousand, four hundred".