3887956449216 has 210 divisors, whose sum is σ = 13406774169888. Its totient is φ = 1110844627200.

The previous prime is 3887956449199. The next prime is 3887956449217. The reversal of 3887956449216 is 6129446597883.

3887956449216 is a `hidden beast` number, since 3 + 8 + 8 + 7 + 9 + 564 + 49 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887956449217) 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 29 ways as a sum of consecutive naturals, for example, 7398960 + ... + 7906991.

Almost surely, 2^{3887956449216} is an apocalyptic number.

3887956449216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3887956449216 is an abundant number, since it is smaller than the sum of its proper divisors (9518817720672).

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

3887956449216 is a wasteful number, since it uses less digits than its factorization.

3887956449216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15305989 (or 15305963 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 72.

The spelling of 3887956449216 in words is "three trillion, eight hundred eighty-seven billion, nine hundred fifty-six million, four hundred forty-nine thousand, two hundred sixteen".