3877819932366 has 256 divisors, whose sum is σ = 9465071616000. Its totient is φ = 1172488141440.

The previous prime is 3877819932359. The next prime is 3877819932367. The reversal of 3877819932366 is 6632399187783.

3877819932366 is a `hidden beast` number, since 3 + 8 + 7 + 78 + 199 + 3 + 2 + 366 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3877819932294 and 3877819932303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877819932367) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1959483565 + ... + 1959485543.

It is an arithmetic number, because the mean of its divisors is an integer number (36972936000).

Almost surely, 2^{3877819932366} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3877819932366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732535808000).

3877819932366 is an abundant number, since it is smaller than the sum of its proper divisors (5587251683634).

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

3877819932366 is a wasteful number, since it uses less digits than its factorization.

3877819932366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 2838 counting only the distinct ones).

The product of its digits is 493807104, while the sum is 72.

The spelling of 3877819932366 in words is "three trillion, eight hundred seventy-seven billion, eight hundred nineteen million, nine hundred thirty-two thousand, three hundred sixty-six".