3826205932761 has 243 divisors, whose sum is σ = 6415030616319. Its totient is φ = 2281558881600.

The previous prime is 3826205932751. The next prime is 3826205932763. The reversal of 3826205932761 is 1672395026283.

The square root of 3826205932761 is 1956069.

It is a perfect power (a square), and thus also a powerful number.

3826205932761 is a `hidden beast` number, since 3 + 8 + 2 + 6 + 20 + 593 + 27 + 6 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 184368043161 + 3641837889600 = 429381^2 + 1908360^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 3826205932761 - 2⁵ = 3826205932729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3826205932698 and 3826205932707.

It is not an unprimeable number, because it can be changed into a prime (3826205932763) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 93322095901 + ... + 93322095941.

Almost surely, 2^{3826205932761} is an apocalyptic number.

3826205932761 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3826205932761 is the 1956069-th square number.

3826205932761 is the 978035-th centered octagonal number.

It is an amenable number.

3826205932761 is a deficient number, since it is larger than the sum of its proper divisors (2588824683558).

3826205932761 is an frugal number, since it uses more digits than its factorization.

3826205932761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 3826205932761 in words is "three trillion, eight hundred twenty-six billion, two hundred five million, nine hundred thirty-two thousand, seven hundred sixty-one".