3877666506 has 80 divisors (see below), whose sum is σ = 9955028160. Its totient is φ = 1105125120.

The previous prime is 3877666501. The next prime is 3877666511. The reversal of 3877666506 is 6056667783.

It is an interprime number because it is at equal distance from previous prime (3877666501) and next prime (3877666511).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3877666501) 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 39 ways as a sum of consecutive naturals, for example, 471066 + ... + 479226.

It is an arithmetic number, because the mean of its divisors is an integer number (124437852).

Almost surely, 2^3877666506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3877666506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4977514080).

3877666506 is an abundant number, since it is smaller than the sum of its proper divisors (6077361654).

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

3877666506 is a wasteful number, since it uses less digits than its factorization.

3877666506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8601 (or 8592 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The square root of 3877666506 is about 62270.9121982327. The cubic root of 3877666506 is about 1571.0505236028.

The spelling of 3877666506 in words is "three billion, eight hundred seventy-seven million, six hundred sixty-six thousand, five hundred six".