3831320805376 has 57 divisors (see below), whose sum is σ = 7664631868911. Its totient is φ = 1915159314432.

The previous prime is 3831320805359. The next prime is 3831320805391. The reversal of 3831320805376 is 6735080231383.

The square root of 3831320805376 is 1957376.

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

It is a super-2 number, since 2×3831320805376² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1002174601 + ... + 1002178423.

Almost surely, 2^{3831320805376} is an apocalyptic number.

3831320805376 is the 1957376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3831320805376

3831320805376 is an abundant number, since it is smaller than the sum of its proper divisors (3833311063535).

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

3831320805376 is an frugal number, since it uses more digits than its factorization.

3831320805376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7682 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

Multiplying 3831320805376 by its sum of digits (49), we get a square (187734719463424 = 13701632²).

The spelling of 3831320805376 in words is "three trillion, eight hundred thirty-one billion, three hundred twenty million, eight hundred five thousand, three hundred seventy-six".