3862781676 has 192 divisors, whose sum is σ = 11156006400. Its totient is φ = 1148297472.

The previous prime is 3862781653. The next prime is 3862781707. The reversal of 3862781676 is 6761872683.

3862781676 is a `hidden beast` number, since 3 + 8 + 627 + 8 + 1 + 6 + 7 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6580255 + ... + 6580841.

It is an arithmetic number, because the mean of its divisors is an integer number (58104200).

Almost surely, 2^3862781676 is an apocalyptic number.

3862781676 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 3862781676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5578003200).

3862781676 is an abundant number, since it is smaller than the sum of its proper divisors (7293224724).

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

3862781676 is a wasteful number, since it uses less digits than its factorization.

3862781676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 757 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 3862781676 is about 62151.2805660511. The cubic root of 3862781676 is about 1569.0377318376.

The spelling of 3862781676 in words is "three billion, eight hundred sixty-two million, seven hundred eighty-one thousand, six hundred seventy-six".