838198368 has 384 divisors, whose sum is σ = 2975616000. Its totient is φ = 227308032.

The previous prime is 838198363. The next prime is 838198373. The reversal of 838198368 is 863891838.

It is a happy number.

838198368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (838198363) and next prime (838198373).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838198363) 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, 14206723 + ... + 14206781.

It is an arithmetic number, because the mean of its divisors is an integer number (7749000).

Almost surely, 2^838198368 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 838198368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487808000).

838198368 is an abundant number, since it is smaller than the sum of its proper divisors (2137417632).

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

838198368 is an equidigital number, since it uses as much as digits as its factorization.

838198368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 100 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 838198368 is about 28951.6557039490. The cubic root of 838198368 is about 942.8637458806.

The spelling of 838198368 in words is "eight hundred thirty-eight million, one hundred ninety-eight thousand, three hundred sixty-eight".