384706888020 has 1152 divisors, whose sum is σ = 1557673528320. Its totient is φ = 78068551680.

The previous prime is 384706887973. The next prime is 384706888043. The reversal of 384706888020 is 20888607483.

384706888020 is a `hidden beast` number, since 38 + 470 + 68 + 8 + 80 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2125452330 + ... + 2125452510.

It is an arithmetic number, because the mean of its divisors is an integer number (1352147160).

Almost surely, 2^384706888020 is an apocalyptic number.

384706888020 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 384706888020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778836764160).

384706888020 is an abundant number, since it is smaller than the sum of its proper divisors (1172966640300).

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

384706888020 is a wasteful number, since it uses less digits than its factorization.

384706888020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 384706888020 in words is "three hundred eighty-four billion, seven hundred six million, eight hundred eighty-eight thousand, twenty".