838416366 has 64 divisors (see below), whose sum is σ = 1895120640. Its totient is φ = 274713120.

The previous prime is 838416347. The next prime is 838416367. The reversal of 838416366 is 663614838.

838416366 is a `hidden beast` number, since 8 + 3 + 8 + 4 + 1 + 636 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838416367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1268076 + ... + 1268736.

It is an arithmetic number, because the mean of its divisors is an integer number (29611260).

Almost surely, 2^838416366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 838416366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947560320).

838416366 is an abundant number, since it is smaller than the sum of its proper divisors (1056704274).

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

838416366 is a wasteful number, since it uses less digits than its factorization.

838416366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 838416366 is about 28955.4203215909. The cubic root of 838416366 is about 942.9454785595.

The spelling of 838416366 in words is "eight hundred thirty-eight million, four hundred sixteen thousand, three hundred sixty-six".