838824336 has 480 divisors, whose sum is σ = 3087302400. Its totient is φ = 219469824.

The previous prime is 838824323. The next prime is 838824347. The reversal of 838824336 is 633428838.

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

It is a junction number, because it is equal to n+sod(n) for n = 838824291 and 838824300.

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 95 ways as a sum of consecutive naturals, for example, 22670910 + ... + 22670946.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^838824336 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 838824336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1543651200).

838824336 is an abundant number, since it is smaller than the sum of its proper divisors (2248478064).

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

838824336 is a wasteful number, since it uses less digits than its factorization.

838824336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 66 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 838824336 is about 28962.4642597967. The cubic root of 838824336 is about 943.0983982394.

It can be divided in two parts, 838824 and 336, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 838824336 in words is "eight hundred thirty-eight million, eight hundred twenty-four thousand, three hundred thirty-six".