3806778728116 has 192 divisors, whose sum is σ = 8964055296000. Its totient is φ = 1372012992000.

The previous prime is 3806778728111. The next prime is 3806778728153. The reversal of 3806778728116 is 6118278776083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806778728111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50303755 + ... + 50379373.

It is an arithmetic number, because the mean of its divisors is an integer number (46687788000).

Almost surely, 2^{3806778728116} 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 3806778728116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4482027648000).

3806778728116 is an abundant number, since it is smaller than the sum of its proper divisors (5157276567884).

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

3806778728116 is a wasteful number, since it uses less digits than its factorization.

3806778728116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75942 (or 75940 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 64.

The spelling of 3806778728116 in words is "three trillion, eight hundred six billion, seven hundred seventy-eight million, seven hundred twenty-eight thousand, one hundred sixteen".