3866206176 has 144 divisors (see below), whose sum is σ = 12683309184. Its totient is φ = 1094245632.

The previous prime is 3866206133. The next prime is 3866206207. The reversal of 3866206176 is 6716026683.

3866206176 is a `hidden beast` number, since 3 + 8 + 6 + 6 + 20 + 617 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206751 + ... + 224673.

It is an arithmetic number, because the mean of its divisors is an integer number (88078536).

Almost surely, 2^3866206176 is an apocalyptic number.

3866206176 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 3866206176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6341654592).

3866206176 is an abundant number, since it is smaller than the sum of its proper divisors (8817103008).

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

3866206176 is a wasteful number, since it uses less digits than its factorization.

3866206176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18053 (or 18042 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3866206176 is about 62178.8241767243. The cubic root of 3866206176 is about 1569.5012650378.

The spelling of 3866206176 in words is "three billion, eight hundred sixty-six million, two hundred six thousand, one hundred seventy-six".