3813653413395 has 192 divisors, whose sum is σ = 8141483750400. Its totient is φ = 1612371640320.

The previous prime is 3813653413337. The next prime is 3813653413397. The reversal of 3813653413395 is 5933143563183.

3813653413395 is a `hidden beast` number, since 3 + 8 + 1 + 3 + 6 + 534 + 13 + 3 + 95 = 666.

It is not a de Polignac number, because 3813653413395 - 2⁶ = 3813653413331 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3813653413397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 864967951 + ... + 864972359.

It is an arithmetic number, because the mean of its divisors is an integer number (42403561200).

Almost surely, 2^{3813653413395} is an apocalyptic number.

3813653413395 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3813653413395 is an abundant number, since it is smaller than the sum of its proper divisors (4327830337005).

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

3813653413395 is a wasteful number, since it uses less digits than its factorization.

3813653413395 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7850 (or 7847 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 3813653413395 in words is "three trillion, eight hundred thirteen billion, six hundred fifty-three million, four hundred thirteen thousand, three hundred ninety-five".