384315624000 has 1344 divisors, whose sum is σ = 1789869968640. Its totient is φ = 79833600000.

The previous prime is 384315623969. The next prime is 384315624019. The reversal of 384315624000 is 426513483.

384315624000 is a `hidden beast` number, since 384 + 31 + 5 + 6 + 240 + 0 + 0 = 666.

384315624000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116422350 + ... + 116425650.

Almost surely, 2^384315624000 is an apocalyptic number.

384315624000 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 384315624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894934984320).

384315624000 is an abundant number, since it is smaller than the sum of its proper divisors (1405554344640).

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

384315624000 is a wasteful number, since it uses less digits than its factorization.

384315624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 384315624000 in words is "three hundred eighty-four billion, three hundred fifteen million, six hundred twenty-four thousand".