3866782680 has 192 divisors, whose sum is σ = 13121035200. Its totient is φ = 986618880.

The previous prime is 3866782631. The next prime is 3866782681. The reversal of 3866782680 is 862876683.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3866782681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810141 + ... + 814899.

It is an arithmetic number, because the mean of its divisors is an integer number (68338725).

Almost surely, 2^3866782680 is an apocalyptic number.

3866782680 is a gapful number since it is divisible by the number (30) 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 3866782680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560517600).

3866782680 is an abundant number, since it is smaller than the sum of its proper divisors (9254252520).

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

3866782680 is a wasteful number, since it uses less digits than its factorization.

3866782680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3866782680 is about 62183.4598587116. The cubic root of 3866782680 is about 1569.5792724992.

The spelling of 3866782680 in words is "three billion, eight hundred sixty-six million, seven hundred eighty-two thousand, six hundred eighty".