383272344 has 512 divisors, whose sum is σ = 1470873600. Its totient is φ = 89579520.

The previous prime is 383272339. The next prime is 383272369. The reversal of 383272344 is 443272383.

383272344 is a `hidden beast` number, since 383 + 272 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 383272299 and 383272308.

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 127 ways as a sum of consecutive naturals, for example, 10358694 + ... + 10358730.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2^383272344 is an apocalyptic number.

383272344 is a gapful number since it is divisible by the number (34) 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 383272344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735436800).

383272344 is an abundant number, since it is smaller than the sum of its proper divisors (1087601256).

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

383272344 is a wasteful number, since it uses less digits than its factorization.

383272344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 383272344 is about 19577.3426184454. The cubic root of 383272344 is about 726.3888361714.

It can be divided in two parts, 3832 and 72344, that added together give a square (76176 = 276²).

The spelling of 383272344 in words is "three hundred eighty-three million, two hundred seventy-two thousand, three hundred forty-four".