838334112 has 384 divisors, whose sum is σ = 2972712960. Its totient is φ = 200309760.

The previous prime is 838334089. The next prime is 838334137. The reversal of 838334112 is 211433838.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

Its product of digits (13824) is a multiple of the sum of its prime divisors (216).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6600993 + ... + 6601119.

It is an arithmetic number, because the mean of its divisors is an integer number (7741440).

Almost surely, 2^838334112 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 838334112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486356480).

838334112 is an abundant number, since it is smaller than the sum of its proper divisors (2134378848).

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

838334112 is a wasteful number, since it uses less digits than its factorization.

838334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 216 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 838334112 is about 28953.9999309249. Note that the first 4 decimals coincide. The cubic root of 838334112 is about 942.9146412265.

The spelling of 838334112 in words is "eight hundred thirty-eight million, three hundred thirty-four thousand, one hundred twelve".