384345561600 has 2880 divisors, whose sum is σ = 1927379139840. Its totient is φ = 72990720000.

The previous prime is 384345561563. The next prime is 384345561601. The reversal of 384345561600 is 6165543483.

384345561600 is a `hidden beast` number, since 3 + 8 + 4 + 34 + 5 + 5 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is not an unprimeable number, because it can be changed into a prime (384345561601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3805401550 + ... + 3805401650.

It is an arithmetic number, because the mean of its divisors is an integer number (669228868).

Almost surely, 2^384345561600 is an apocalyptic number.

384345561600 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 384345561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963689569920).

384345561600 is an abundant number, since it is smaller than the sum of its proper divisors (1543033578240).

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

384345561600 is a wasteful number, since it uses less digits than its factorization.

384345561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 384345561600 in words is "three hundred eighty-four billion, three hundred forty-five million, five hundred sixty-one thousand, six hundred".