4381820800 has 192 divisors, whose sum is σ = 12445632000. Its totient is φ = 1493268480.

The previous prime is 4381820797. The next prime is 4381820851. The reversal of 4381820800 is 80281834.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4457109 + ... + 4458091.

It is an arithmetic number, because the mean of its divisors is an integer number (64821000).

Almost surely, 2^4381820800 is an apocalyptic number.

4381820800 is a gapful number since it is divisible by the number (40) 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 4381820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222816000).

4381820800 is an abundant number, since it is smaller than the sum of its proper divisors (8063811200).

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

4381820800 is a wasteful number, since it uses less digits than its factorization.

4381820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 4381820800 is about 66195.3230976328. The cubic root of 4381820800 is about 1636.3826676425.

The spelling of 4381820800 in words is "four billion, three hundred eighty-one million, eight hundred twenty thousand, eight hundred".