3813138828 has 180 divisors, whose sum is σ = 10694472712. Its totient is φ = 1184440320.

The previous prime is 3813138827. The next prime is 3813138839. The reversal of 3813138828 is 8288313183.

3813138828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3813138827) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18071643 + ... + 18071853.

Almost surely, 2^3813138828 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 3813138828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347236356).

3813138828 is an abundant number, since it is smaller than the sum of its proper divisors (6881333884).

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

3813138828 is a wasteful number, since it uses less digits than its factorization.

3813138828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 426 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 3813138828 is about 61750.6180373930. The cubic root of 3813138828 is about 1562.2871923338.

The spelling of 3813138828 in words is "three billion, eight hundred thirteen million, one hundred thirty-eight thousand, eight hundred twenty-eight".