383337216 has 108 divisors (see below), whose sum is σ = 1170390312. Its totient is φ = 120250368.

The previous prime is 383337211. The next prime is 383337221. The reversal of 383337216 is 612733383.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (383337211) and next prime (383337221).

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

It is not an unprimeable number, because it can be changed into a prime (383337211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34275 + ... + 44061.

Almost surely, 2^383337216 is an apocalyptic number.

383337216 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 383337216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585195156).

383337216 is an abundant number, since it is smaller than the sum of its proper divisors (787053096).

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

383337216 is a wasteful number, since it uses less digits than its factorization.

383337216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9826 (or 9809 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 383337216 is about 19578.9993615608. Note that the first 3 decimals coincide. The cubic root of 383337216 is about 726.4298162899.

The spelling of 383337216 in words is "three hundred eighty-three million, three hundred thirty-seven thousand, two hundred sixteen".