383208672 has 192 divisors, whose sum is σ = 1281982464. Its totient is φ = 97328640.

The previous prime is 383208671. The next prime is 383208677. The reversal of 383208672 is 276802383.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 383208672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383208671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 346873 + ... + 347975.

It is an arithmetic number, because the mean of its divisors is an integer number (6676992).

Almost surely, 2^383208672 is an apocalyptic number.

383208672 is a gapful number since it is divisible by the number (32) 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 383208672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640991232).

383208672 is an abundant number, since it is smaller than the sum of its proper divisors (898773792).

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

383208672 is a wasteful number, since it uses less digits than its factorization.

383208672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 383208672 is about 19575.7163853587. The cubic root of 383208672 is about 726.3486096048.

The spelling of 383208672 in words is "three hundred eighty-three million, two hundred eight thousand, six hundred seventy-two".