384062418432 has 1280 divisors, whose sum is σ = 1490373181440. Its totient is φ = 94755225600.

The previous prime is 384062418317. The next prime is 384062418433. The reversal of 384062418432 is 234814260483.

It is a happy number.

384062418432 is a `hidden beast` number, since 3 + 8 + 4 + 0 + 624 + 18 + 4 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384062418433) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3398782408 + ... + 3398782520.

It is an arithmetic number, because the mean of its divisors is an integer number (1164354048).

Almost surely, 2^384062418432 is an apocalyptic number.

384062418432 is a gapful number since it is divisible by the number (32) 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 384062418432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745186590720).

384062418432 is an abundant number, since it is smaller than the sum of its proper divisors (1106310763008).

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

384062418432 is a wasteful number, since it uses less digits than its factorization.

384062418432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 384062418432 in words is "three hundred eighty-four billion, sixty-two million, four hundred eighteen thousand, four hundred thirty-two".