838486368 has 72 divisors (see below), whose sum is σ = 2391244128. Its totient is φ = 278698752.

The previous prime is 838486361. The next prime is 838486379. The reversal of 838486368 is 863684838.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (838486361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101730 + ... + 109662.

It is an arithmetic number, because the mean of its divisors is an integer number (33211724).

Almost surely, 2^838486368 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 838486368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195622064).

838486368 is an abundant number, since it is smaller than the sum of its proper divisors (1552757760).

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

838486368 is a wasteful number, since it uses less digits than its factorization.

838486368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8316 (or 8305 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 838486368 is about 28956.6290855825. The cubic root of 838486368 is about 942.9717209832.

The spelling of 838486368 in words is "eight hundred thirty-eight million, four hundred eighty-six thousand, three hundred sixty-eight".