383838312 has 128 divisors (see below), whose sum is σ = 1139967360. Its totient is φ = 106168320.

The previous prime is 383838293. The next prime is 383838313. The reversal of 383838312 is 213838383.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is not an unprimeable number, because it can be changed into a prime (383838313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 332328 + ... + 333480.

It is an arithmetic number, because the mean of its divisors is an integer number (8905995).

Almost surely, 2^383838312 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 383838312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569983680).

383838312 is an abundant number, since it is smaller than the sum of its proper divisors (756129048).

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

383838312 is a wasteful number, since it uses less digits than its factorization.

383838312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1279 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 383838312 is about 19591.7919547958. The cubic root of 383838312 is about 726.7462066325.

The spelling of 383838312 in words is "three hundred eighty-three million, eight hundred thirty-eight thousand, three hundred twelve".