3813072438681 has 81 divisors (see below), whose sum is σ = 6190462560373. Its totient is φ = 2259987288240.

The previous prime is 3813072438611. The next prime is 3813072438727. The reversal of 3813072438681 is 1868342703183.

It is a happy number.

The square root of 3813072438681 is 1952709.

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

3813072438681 is a `hidden beast` number, since 3 + 8 + 130 + 72 + 438 + 6 + 8 + 1 = 666.

It is not a de Polignac number, because 3813072438681 - 2²⁷ = 3812938220953 is a prime.

It is a super-2 number, since 2×3813072438681² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3813072438601) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3028651030 + ... + 3028652288.

Almost surely, 2^{3813072438681} is an apocalyptic number.

3813072438681 is the 1952709-th square number.

3813072438681 is the 976355-th centered octagonal number.

It is an amenable number.

3813072438681 is a deficient number, since it is larger than the sum of its proper divisors (2377390121692).

3813072438681 is an equidigital number, since it uses as much as digits as its factorization.

3813072438681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3813072438681 in words is "three trillion, eight hundred thirteen billion, seventy-two million, four hundred thirty-eight thousand, six hundred eighty-one".