384122643840 has 384 divisors, whose sum is σ = 1429916604480. Its totient is φ = 94456627200.

The previous prime is 384122643833. The next prime is 384122643859. The reversal of 384122643840 is 48346221483.

It is a happy number.

384122643840 is a `hidden beast` number, since 3 + 8 + 4 + 1 + 2 + 264 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97416909 + ... + 97420851.

Almost surely, 2^384122643840 is an apocalyptic number.

384122643840 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 384122643840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714958302240).

384122643840 is an abundant number, since it is smaller than the sum of its proper divisors (1045793960640).

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

384122643840 is a wasteful number, since it uses less digits than its factorization.

384122643840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5267 counting only the distinct ones).

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

The spelling of 384122643840 in words is "three hundred eighty-four billion, one hundred twenty-two million, six hundred forty-three thousand, eight hundred forty".