3836205867168 has 48 divisors (see below), whose sum is σ = 11188933781760. Its totient is φ = 1278735288768.

The previous prime is 3836205867077. The next prime is 3836205867211. The reversal of 3836205867168 is 8617685026383.

It is a happy number.

3836205867168 is a `hidden beast` number, since 3 + 8 + 36 + 2 + 0 + 586 + 7 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2220025680 + ... + 2220027407.

It is an arithmetic number, because the mean of its divisors is an integer number (233102787120).

Almost surely, 2^{3836205867168} is an apocalyptic number.

It is an amenable number.

3836205867168 is an abundant number, since it is smaller than the sum of its proper divisors (7352727914592).

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

3836205867168 is a wasteful number, since it uses less digits than its factorization.

3836205867168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4440053106 (or 4440053092 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 3836205867168 in words is "three trillion, eight hundred thirty-six billion, two hundred five million, eight hundred sixty-seven thousand, one hundred sixty-eight".