5204352384 has 768 divisors, whose sum is σ = 20209512960. Its totient is φ = 1293926400.

The previous prime is 5204352353. The next prime is 5204352407. The reversal of 5204352384 is 4832534025.

5204352384 is a `hidden beast` number, since 52 + 0 + 4 + 3 + 523 + 84 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98195302 + ... + 98195354.

It is an arithmetic number, because the mean of its divisors is an integer number (26314470).

Almost surely, 2^5204352384 is an apocalyptic number.

5204352384 is a gapful number since it is divisible by the number (54) 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 5204352384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10104756480).

5204352384 is an abundant number, since it is smaller than the sum of its proper divisors (15005160576).

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

5204352384 is a wasteful number, since it uses less digits than its factorization.

5204352384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 5204352384 is about 72141.1975503595. The cubic root of 5204352384 is about 1732.9614355315.

The spelling of 5204352384 in words is "five billion, two hundred four million, three hundred fifty-two thousand, three hundred eighty-four".