383800032 has 288 divisors, whose sum is σ = 1413345024. Its totient is φ = 99532800.

The previous prime is 383800031. The next prime is 383800037. The reversal of 383800032 is 230008383.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 383799969 and 383800005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (383800031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 598432 + ... + 599072.

It is an arithmetic number, because the mean of its divisors is an integer number (4907448).

Almost surely, 2^383800032 is an apocalyptic number.

383800032 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 383800032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706672512).

383800032 is an abundant number, since it is smaller than the sum of its proper divisors (1029544992).

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

383800032 is a wasteful number, since it uses less digits than its factorization.

383800032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 383800032 is about 19590.8149907042. The cubic root of 383800032 is about 726.7220464859.

The spelling of 383800032 in words is "three hundred eighty-three million, eight hundred thousand, thirty-two".