383801600 has 216 divisors, whose sum is σ = 1170966720. Its totient is φ = 121282560.

The previous prime is 383801591. The next prime is 383801609. The reversal of 383801600 is 6108383.

It is an interprime number because it is at equal distance from previous prime (383801591) and next prime (383801609).

It is not an unprimeable number, because it can be changed into a prime (383801609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582071 + ... + 582729.

Almost surely, 2^383801600 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 383801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585483360).

383801600 is an abundant number, since it is smaller than the sum of its proper divisors (787165120).

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

383801600 is a wasteful number, since it uses less digits than its factorization.

383801600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 383801600 is about 19590.8550094170. The cubic root of 383801600 is about 726.7230361494.

Adding to 383801600 its reverse (6108383), we get a palindrome (389909983).

The spelling of 383801600 in words is "three hundred eighty-three million, eight hundred one thousand, six hundred".