3276381642912 has 288 divisors, whose sum is σ = 11770197143040. Its totient is φ = 881043609600.

The previous prime is 3276381642899. The next prime is 3276381642913. The reversal of 3276381642912 is 2192461836723.

3276381642912 is a `hidden beast` number, since 3 + 276 + 3 + 81 + 6 + 4 + 291 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3276381642913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556464 + ... + 2995887.

It is an arithmetic number, because the mean of its divisors is an integer number (40868740080).

Almost surely, 2^{3276381642912} is an apocalyptic number.

3276381642912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3276381642912 is an abundant number, since it is smaller than the sum of its proper divisors (8493815500128).

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

3276381642912 is a wasteful number, since it uses less digits than its factorization.

3276381642912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4552401 (or 4552380 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 3276381642912 in words is "three trillion, two hundred seventy-six billion, three hundred eighty-one million, six hundred forty-two thousand, nine hundred twelve".