3866809100 has 216 divisors, whose sum is σ = 10705814784. Its totient is φ = 1186416000.

The previous prime is 3866809081. The next prime is 3866809147. The reversal of 3866809100 is 19086683.

It is a happy number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 6013379 + ... + 6014021.

Almost surely, 2^3866809100 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 3866809100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5352907392).

3866809100 is an abundant number, since it is smaller than the sum of its proper divisors (6839005684).

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

3866809100 is a wasteful number, since it uses less digits than its factorization.

3866809100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 3866809100 is about 62183.6722942607. The cubic root of 3866809100 is about 1569.5828472359.

The spelling of 3866809100 in words is "three billion, eight hundred sixty-six million, eight hundred nine thousand, one hundred".