3288419473752 has 96 divisors (see below), whose sum is σ = 10210960699680. Its totient is φ = 936546624000.

The previous prime is 3288419473733. The next prime is 3288419473799. The reversal of 3288419473752 is 2573749148823.

It is a happy number.

3288419473752 is a `hidden beast` number, since 3 + 2 + 8 + 84 + 19 + 473 + 75 + 2 = 666.

3288419473752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 3288419473752.

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, 10264999 + ... + 10580502.

It is an arithmetic number, because the mean of its divisors is an integer number (106364173955).

Almost surely, 2^{3288419473752} is an apocalyptic number.

It is an amenable number.

3288419473752 is an abundant number, since it is smaller than the sum of its proper divisors (6922541225928).

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

3288419473752 is a wasteful number, since it uses less digits than its factorization.

3288419473752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20845833 (or 20845826 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 63.

The spelling of 3288419473752 in words is "three trillion, two hundred eighty-eight billion, four hundred nineteen million, four hundred seventy-three thousand, seven hundred fifty-two".