3876286128 has 160 divisors (see below), whose sum is σ = 12144556032. Its totient is φ = 1049241600.

The previous prime is 3876286123. The next prime is 3876286129. The reversal of 3876286128 is 8216826783.

It is a happy number.

It is a super-2 number, since 2×3876286128² = 30051188292250464768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3876286123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203676 + ... + 221892.

Almost surely, 2^3876286128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876286128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072278016).

3876286128 is an abundant number, since it is smaller than the sum of its proper divisors (8268269904).

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

3876286128 is a wasteful number, since it uses less digits than its factorization.

3876286128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18283 (or 18277 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 3876286128 is about 62259.8275615987. The cubic root of 3876286128 is about 1570.8640797746.

The spelling of 3876286128 in words is "three billion, eight hundred seventy-six million, two hundred eighty-six thousand, one hundred twenty-eight".