3806814087936 has 144 divisors (see below), whose sum is σ = 11531991028320. Its totient is φ = 1237988229120.

The previous prime is 3806814087899. The next prime is 3806814087953. The reversal of 3806814087936 is 6397804186083.

3806814087936 is a `hidden beast` number, since 3 + 80 + 6 + 81 + 408 + 79 + 3 + 6 = 666.

3806814087936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6433125 + ... + 6999908.

It is an arithmetic number, because the mean of its divisors is an integer number (80083271030).

Almost surely, 2^{3806814087936} is an apocalyptic number.

3806814087936 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3806814087936 is an abundant number, since it is smaller than the sum of its proper divisors (7725176940384).

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

3806814087936 is a wasteful number, since it uses less digits than its factorization.

3806814087936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13433099 (or 13433079 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3806814087936 in words is "three trillion, eight hundred six billion, eight hundred fourteen million, eighty-seven thousand, nine hundred thirty-six".