383886819936 has 144 divisors (see below), whose sum is σ = 1135106481600. Its totient is φ = 127623662208.

The previous prime is 383886819887. The next prime is 383886819973. The reversal of 383886819936 is 639918688383.

383886819936 is a `hidden beast` number, since 383 + 8 + 86 + 81 + 9 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2881975 + ... + 3012233.

It is an arithmetic number, because the mean of its divisors is an integer number (7882683900).

Almost surely, 2^383886819936 is an apocalyptic number.

383886819936 is a gapful number since it is divisible by the number (36) 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 383886819936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567553240800).

383886819936 is an abundant number, since it is smaller than the sum of its proper divisors (751219661664).

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

383886819936 is a wasteful number, since it uses less digits than its factorization.

383886819936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130663 (or 130643 counting only the distinct ones).

The product of its digits is 322486272, while the sum is 72.

The spelling of 383886819936 in words is "three hundred eighty-three billion, eight hundred eighty-six million, eight hundred nineteen thousand, nine hundred thirty-six".