384103855872 has 432 divisors, whose sum is σ = 1263517731840. Its totient is φ = 116370017280.

The previous prime is 384103855859. The next prime is 384103855879. The reversal of 384103855872 is 278558301483.

384103855872 is a `hidden beast` number, since 3 + 8 + 4 + 10 + 3 + 8 + 558 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (384103855879) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82796529 + ... + 82801167.

Almost surely, 2^384103855872 is an apocalyptic number.

384103855872 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 384103855872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631758865920).

384103855872 is an abundant number, since it is smaller than the sum of its proper divisors (879413875968).

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

384103855872 is an frugal number, since it uses more digits than its factorization.

384103855872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4703 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 384103855872 in words is "three hundred eighty-four billion, one hundred three million, eight hundred fifty-five thousand, eight hundred seventy-two".