3813119856 has 240 divisors, whose sum is σ = 13907484864. Its totient is φ = 946446336.

The previous prime is 3813119833. The next prime is 3813119911. The reversal of 3813119856 is 6589113183.

It is a happy number.

3813119856 is a `hidden beast` number, since 381 + 31 + 198 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214210 + ... + 231326.

Almost surely, 2^3813119856 is an apocalyptic number.

3813119856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3813119856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953742432).

3813119856 is an abundant number, since it is smaller than the sum of its proper divisors (10094365008).

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

3813119856 is a wasteful number, since it uses less digits than its factorization.

3813119856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17168 (or 17159 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 3813119856 is about 61750.4644193062. The cubic root of 3813119856 is about 1562.2846013134.

The spelling of 3813119856 in words is "three billion, eight hundred thirteen million, one hundred nineteen thousand, eight hundred fifty-six".