3882854486016 has 585 divisors, whose sum is σ = 12790672997179. Its totient is φ = 1172839219200.

The previous prime is 3882854486011. The next prime is 3882854486033. The reversal of 3882854486016 is 6106844582883.

The square root of 3882854486016 is 1970496.

It is a perfect power (a square), and thus also a powerful number.

3882854486016 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 8 + 544 + 86 + 0 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (3882854486011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12485062501 + ... + 12485062811.

Almost surely, 2^{3882854486016} is an apocalyptic number.

3882854486016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3882854486016 is the 1970496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3882854486016

3882854486016 is an abundant number, since it is smaller than the sum of its proper divisors (8907818511163).

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

3882854486016 is an frugal number, since it uses more digits than its factorization.

3882854486016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 3882854486016 in words is "three trillion, eight hundred eighty-two billion, eight hundred fifty-four million, four hundred eighty-six thousand, sixteen".