3888886544676 has 729 divisors, whose sum is σ = 12469176833841. Its totient is φ = 1058078718144.

The previous prime is 3888886544659. The next prime is 3888886544681. The reversal of 3888886544676 is 6764456888883.

The square root of 3888886544676 is 1972026.

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

3888886544676 is a `hidden beast` number, since 3 + 8 + 8 + 8 + 8 + 8 + 6 + 544 + 67 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3479829084900 + 409057459776 = 1865430^2 + 639576^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (11890851840) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 3888886544595 and 3888886544604.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 82742266885 + ... + 82742266931.

Almost surely, 2^{3888886544676} is an apocalyptic number.

3888886544676 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3888886544676 is the 1972026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3888886544676

3888886544676 is an abundant number, since it is smaller than the sum of its proper divisors (8580290289165).

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

3888886544676 is an frugal number, since it uses more digits than its factorization.

3888886544676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 96 counting only the distinct ones).

The product of its digits is 11890851840, while the sum is 81.

Multiplying 3888886544676 by its sum of digits (81), we get a square (314999810118756 = 17748234²).

3888886544676 divided by its sum of digits (81) gives a square (48010944996 = 219114²).

The spelling of 3888886544676 in words is "three trillion, eight hundred eighty-eight billion, eight hundred eighty-six million, five hundred forty-four thousand, six hundred seventy-six".