3806778743768 has 128 divisors (see below), whose sum is σ = 9599837022720. Its totient is φ = 1366737269760.

The previous prime is 3806778743711. The next prime is 3806778743777. The reversal of 3806778743768 is 8673478776083.

It is a junction number, because it is equal to n+sod(n) for n = 3806778743695 and 3806778743704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4295780 + ... + 5105612.

It is an arithmetic number, because the mean of its divisors is an integer number (74998726740).

Almost surely, 2^{3806778743768} 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 3806778743768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799918511360).

3806778743768 is an abundant number, since it is smaller than the sum of its proper divisors (5793058278952).

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

3806778743768 is a wasteful number, since it uses less digits than its factorization.

3806778743768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810457 (or 810453 counting only the distinct ones).

The product of its (nonzero) digits is 1593188352, while the sum is 74.

The spelling of 3806778743768 in words is "three trillion, eight hundred six billion, seven hundred seventy-eight million, seven hundred forty-three thousand, seven hundred sixty-eight".