3856416476913 has 288 divisors, whose sum is σ = 7770000516096. Its totient is φ = 1792150272000.

The previous prime is 3856416476897. The next prime is 3856416476947. The reversal of 3856416476913 is 3196746146583.

It is a happy number.

3856416476913 is a `hidden beast` number, since 3 + 8 + 5 + 64 + 16 + 476 + 91 + 3 = 666.

3856416476913 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3856416476913 - 2⁴ = 3856416476897 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3856416486913) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 993663733 + ... + 993667613.

Almost surely, 2^{3856416476913} is an apocalyptic number.

3856416476913 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3856416476913 is an abundant number, since it is smaller than the sum of its proper divisors (3913584039183).

3856416476913 is a wasteful number, since it uses less digits than its factorization.

3856416476913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4237 (or 4223 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 3856416476913 in words is "three trillion, eight hundred fifty-six billion, four hundred sixteen million, four hundred seventy-six thousand, nine hundred thirteen".