3783865632768 has 720 divisors, whose sum is σ = 12339133606800. Its totient is φ = 1154699919360.

The previous prime is 3783865632733. The next prime is 3783865632769. The reversal of 3783865632768 is 8672365683873.

3783865632768 is a `hidden beast` number, since 3 + 7 + 8 + 38 + 6 + 563 + 27 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (72) 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 3783865632696 and 3783865632705.

It is not an unprimeable number, because it can be changed into a prime (3783865632769) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3896874523 + ... + 3896875493.

It is an arithmetic number, because the mean of its divisors is an integer number (17137685565).

Almost surely, 2^{3783865632768} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3783865632768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6169566803400).

3783865632768 is an abundant number, since it is smaller than the sum of its proper divisors (8555267974032).

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

3783865632768 is a wasteful number, since it uses less digits than its factorization.

3783865632768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1128 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 3783865632768 in words is "three trillion, seven hundred eighty-three billion, eight hundred sixty-five million, six hundred thirty-two thousand, seven hundred sixty-eight".