838313112 has 256 divisors, whose sum is σ = 2780144640. Its totient is φ = 204374016.

The previous prime is 838313111. The next prime is 838313149. The reversal of 838313112 is 211313838.

It is a super-2 number, since 2×838313112² = 1405537747502249088, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 838313112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838313111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2487408 + ... + 2487744.

It is an arithmetic number, because the mean of its divisors is an integer number (10859940).

Almost surely, 2^838313112 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 838313112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1390072320).

838313112 is an abundant number, since it is smaller than the sum of its proper divisors (1941831528).

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

838313112 is a wasteful number, since it uses less digits than its factorization.

838313112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 446 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 838313112 is about 28953.6372844588. The cubic root of 838313112 is about 942.9067679246.

The spelling of 838313112 in words is "eight hundred thirty-eight million, three hundred thirteen thousand, one hundred twelve".