3843679826016 has 72 divisors (see below), whose sum is σ = 10935196154064. Its totient is φ = 1280671983360.

The previous prime is 3843679826003. The next prime is 3843679826023. The reversal of 3843679826016 is 6106289763483.

3843679826016 is a `hidden beast` number, since 3 + 8 + 4 + 367 + 9 + 8 + 260 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 2221951 + ... + 3553086.

It is an arithmetic number, because the mean of its divisors is an integer number (151877724362).

Almost surely, 2^{3843679826016} is an apocalyptic number.

3843679826016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3843679826016 is an abundant number, since it is smaller than the sum of its proper divisors (7091516328048).

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

3843679826016 is a wasteful number, since it uses less digits than its factorization.

3843679826016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5777364 (or 5777353 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 3843679826016 in words is "three trillion, eight hundred forty-three billion, six hundred seventy-nine million, eight hundred twenty-six thousand, sixteen".