838368000 has 432 divisors, whose sum is σ = 3133795392. Its totient is φ = 215040000.

The previous prime is 838367983. The next prime is 838368001. The reversal of 838368000 is 863838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (838368001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11807965 + ... + 11808035.

It is an arithmetic number, because the mean of its divisors is an integer number (7254156).

Almost surely, 2^838368000 is an apocalyptic number.

838368000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566897696).

838368000 is an abundant number, since it is smaller than the sum of its proper divisors (2295427392).

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

838368000 is a wasteful number, since it uses less digits than its factorization.

838368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 838368000 is about 28954.5851291294. The cubic root of 838368000 is about 942.9273462091.

The spelling of 838368000 in words is "eight hundred thirty-eight million, three hundred sixty-eight thousand".