386848224000 has 2016 divisors, whose sum is σ = 1739803613184. Its totient is φ = 83756851200.

The previous prime is 386848223989. The next prime is 386848224053. The reversal of 386848224000 is 422848683.

386848224000 is a `hidden beast` number, since 386 + 8 + 48 + 224 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 3755807949 + ... + 3755808051.

It is an arithmetic number, because the mean of its divisors is an integer number (862997824).

Almost surely, 2^386848224000 is an apocalyptic number.

386848224000 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 386848224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869901806592).

386848224000 is an abundant number, since it is smaller than the sum of its proper divisors (1352955389184).

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

386848224000 is an equidigital number, since it uses as much as digits as its factorization.

386848224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 386848224000 in words is "three hundred eighty-six billion, eight hundred forty-eight million, two hundred twenty-four thousand".