3886032688038 has 192 divisors, whose sum is σ = 8982269936640. Its totient is φ = 1258586284032.

The previous prime is 3886032687941. The next prime is 3886032688051. The reversal of 3886032688038 is 8308862306883.

3886032688038 is a `hidden beast` number, since 388 + 60 + 32 + 68 + 80 + 38 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3460402545 + ... + 3460403667.

It is an arithmetic number, because the mean of its divisors is an integer number (46782655920).

Almost surely, 2^{3886032688038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3886032688038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491134968320).

3886032688038 is an abundant number, since it is smaller than the sum of its proper divisors (5096237248602).

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

3886032688038 is a wasteful number, since it uses less digits than its factorization.

3886032688038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 3886032688038 in words is "three trillion, eight hundred eighty-six billion, thirty-two million, six hundred eighty-eight thousand, thirty-eight".