384342364800 has 1536 divisors, whose sum is σ = 1608582758400. Its totient is φ = 89048678400.

The previous prime is 384342364727. The next prime is 384342364811. The reversal of 384342364800 is 8463243483.

384342364800 is a `hidden beast` number, since 384 + 34 + 236 + 4 + 8 + 0 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1047254217 + ... + 1047254583.

It is an arithmetic number, because the mean of its divisors is an integer number (1047254400).

Almost surely, 2^384342364800 is an apocalyptic number.

384342364800 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 384342364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804291379200).

384342364800 is an abundant number, since it is smaller than the sum of its proper divisors (1224240393600).

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

384342364800 is a wasteful number, since it uses less digits than its factorization.

384342364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 384342364800 in words is "three hundred eighty-four billion, three hundred forty-two million, three hundred sixty-four thousand, eight hundred".