3876466176 has 240 divisors, whose sum is σ = 12603621888. Its totient is φ = 1136332800.

The previous prime is 3876466171. The next prime is 3876466189. The reversal of 3876466176 is 6716646783.

3876466176 is a `hidden beast` number, since 3 + 8 + 7 + 6 + 466 + 176 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876466171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570095 + ... + 1572561.

Almost surely, 2^3876466176 is an apocalyptic number.

3876466176 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3876466176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301810944).

3876466176 is an abundant number, since it is smaller than the sum of its proper divisors (8727155712).

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

3876466176 is a wasteful number, since it uses less digits than its factorization.

3876466176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 2514 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 3876466176 is about 62261.2734852091. The cubic root of 3876466176 is about 1570.8884008685. Note that the first 3 decimals are identical.

The spelling of 3876466176 in words is "three billion, eight hundred seventy-six million, four hundred sixty-six thousand, one hundred seventy-six".