3813101568 has 182 divisors, whose sum is σ = 11441631114. Its totient is φ = 1270038528.

The previous prime is 3813101561. The next prime is 3813101597. The reversal of 3813101568 is 8651013183.

3813101568 is a `hidden beast` number, since 3 + 81 + 3 + 10 + 1 + 568 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3451797504 + 361304064 = 58752^2 + 19008^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813101561) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 2985346 + ... + 2986622.

Almost surely, 2^3813101568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3813101568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5720815557).

3813101568 is an abundant number, since it is smaller than the sum of its proper divisors (7628529546).

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

3813101568 is an frugal number, since it uses more digits than its factorization.

3813101568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3813101568 is about 61750.3163392707. The cubic root of 3813101568 is about 1562.2821036992.

The spelling of 3813101568 in words is "three billion, eight hundred thirteen million, one hundred one thousand, five hundred sixty-eight".