384220800 has 192 divisors, whose sum is σ = 1406457600. Its totient is φ = 102435840.

The previous prime is 384220769. The next prime is 384220807. The reversal of 384220800 is 8022483.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (384220807) 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, 84177 + ... + 88623.

It is an arithmetic number, because the mean of its divisors is an integer number (7325300).

Almost surely, 2^384220800 is an apocalyptic number.

384220800 is a gapful number since it is divisible by the number (30) 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 384220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703228800).

384220800 is an abundant number, since it is smaller than the sum of its proper divisors (1022236800).

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

384220800 is a wasteful number, since it uses less digits than its factorization.

384220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4457 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 384220800 is about 19601.5509590440. The cubic root of 384220800 is about 726.9875230186.

It can be divided in two parts, 3842 and 20800, that added together give a palindrome (24642).

The spelling of 384220800 in words is "three hundred eighty-four million, two hundred twenty thousand, eight hundred".