384481396800 has 504 divisors, whose sum is σ = 1418737320000. Its totient is φ = 98637557760.

The previous prime is 384481396759. The next prime is 384481396841. The reversal of 384481396800 is 8693184483.

384481396800 is a `hidden beast` number, since 3 + 8 + 448 + 139 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (384481396759) and next prime (384481396841).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128201701 + ... + 128204699.

It is an arithmetic number, because the mean of its divisors is an integer number (2814955000).

Almost surely, 2^384481396800 is an apocalyptic number.

384481396800 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 384481396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709368660000).

384481396800 is an abundant number, since it is smaller than the sum of its proper divisors (1034255923200).

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

384481396800 is a wasteful number, since it uses less digits than its factorization.

384481396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3363 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 384481396800 in words is "three hundred eighty-four billion, four hundred eighty-one million, three hundred ninety-six thousand, eight hundred".