3806836886468 has 96 divisors (see below), whose sum is σ = 8328296890368. Its totient is φ = 1479174681600.

The previous prime is 3806836886467. The next prime is 3806836886477. The reversal of 3806836886468 is 8646886386083.

It is a junction number, because it is equal to n+sod(n) for n = 3806836886395 and 3806836886404.

It is not an unprimeable number, because it can be changed into a prime (3806836886467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251484596 + ... + 251499732.

It is an arithmetic number, because the mean of its divisors is an integer number (86753092608).

Almost surely, 2^{3806836886468} 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 3806836886468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164148445184).

3806836886468 is an abundant number, since it is smaller than the sum of its proper divisors (4521460003900).

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

3806836886468 is a wasteful number, since it uses less digits than its factorization.

3806836886468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17313 (or 17311 counting only the distinct ones).

The product of its (nonzero) digits is 1528823808, while the sum is 74.

The spelling of 3806836886468 in words is "three trillion, eight hundred six billion, eight hundred thirty-six million, eight hundred eighty-six thousand, four hundred sixty-eight".