3877723208268 has 1296 divisors, whose sum is σ = 13891207599360. Its totient is φ = 937616238720.

The previous prime is 3877723208263. The next prime is 3877723208297. The reversal of 3877723208268 is 8628023277783.

3877723208268 is a `hidden beast` number, since 3 + 87 + 77 + 23 + 208 + 268 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3877723208263) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 125087845413 + ... + 125087845443.

Almost surely, 2^{3877723208268} is an apocalyptic number.

3877723208268 is a gapful number since it is divisible by the number (38) 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 3877723208268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945603799680).

3877723208268 is an abundant number, since it is smaller than the sum of its proper divisors (10013484391092).

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

3877723208268 is an equidigital number, since it uses as much as digits as its factorization.

3877723208268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 3877723208268 in words is "three trillion, eight hundred seventy-seven billion, seven hundred twenty-three million, two hundred eight thousand, two hundred sixty-eight".