384724114560 has 256 divisors, whose sum is σ = 1364410915200. Its totient is φ = 102454087680.

The previous prime is 384724114553. The next prime is 384724114561. The reversal of 384724114560 is 65411427483.

384724114560 is a `hidden beast` number, since 3 + 8 + 4 + 72 + 4 + 1 + 14 + 560 = 666.

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 (384724114561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13066255 + ... + 13095665.

Almost surely, 2^384724114560 is an apocalyptic number.

384724114560 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 384724114560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682205457600).

384724114560 is an abundant number, since it is smaller than the sum of its proper divisors (979686800640).

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

384724114560 is a wasteful number, since it uses less digits than its factorization.

384724114560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30196 (or 30178 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 384724114560 in words is "three hundred eighty-four billion, seven hundred twenty-four million, one hundred fourteen thousand, five hundred sixty".