838395360 has 240 divisors, whose sum is σ = 3228370992. Its totient is φ = 203212800.

The previous prime is 838395359. The next prime is 838395377. The reversal of 838395360 is 63593838.

838395360 is a `hidden beast` number, since 83 + 8 + 39 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 139620 + ... + 145500.

Almost surely, 2^838395360 is an apocalyptic number.

838395360 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 838395360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614185496).

838395360 is an abundant number, since it is smaller than the sum of its proper divisors (2389975632).

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

838395360 is a wasteful number, since it uses less digits than its factorization.

838395360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5919 (or 5902 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 838395360 is about 28955.0575893055. The cubic root of 838395360 is about 942.9376035231.

The spelling of 838395360 in words is "eight hundred thirty-eight million, three hundred ninety-five thousand, three hundred sixty".