3806828365461 has 16 divisors (see below), whose sum is σ = 5586206713920. Its totient is φ = 2286751281920.

The previous prime is 3806828365451. The next prime is 3806828365517. The reversal of 3806828365461 is 1645638286083.

3806828365461 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3806828365461 - 2⁶ = 3806828365397 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3806828365395 and 3806828365404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806828365451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510431826 + ... + 510439283.

It is an arithmetic number, because the mean of its divisors is an integer number (349137919620).

Almost surely, 2^{3806828365461} is an apocalyptic number.

It is an amenable number.

3806828365461 is a deficient number, since it is larger than the sum of its proper divisors (1779378348459).

3806828365461 is a wasteful number, since it uses less digits than its factorization.

3806828365461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020871236.

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 3806828365461 in words is "three trillion, eight hundred six billion, eight hundred twenty-eight million, three hundred sixty-five thousand, four hundred sixty-one".