5724102384 has 960 divisors, whose sum is σ = 23558492160. Its totient is φ = 1306368000.

The previous prime is 5724102367. The next prime is 5724102443. The reversal of 5724102384 is 4832014275.

It is a happy number.

5724102384 is a `hidden beast` number, since 5 + 7 + 2 + 410 + 238 + 4 = 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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93837714 + ... + 93837774.

It is an arithmetic number, because the mean of its divisors is an integer number (24540096).

Almost surely, 2^5724102384 is an apocalyptic number.

5724102384 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 5724102384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779246080).

5724102384 is an abundant number, since it is smaller than the sum of its proper divisors (17834389776).

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

5724102384 is a wasteful number, since it uses less digits than its factorization.

5724102384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 5724102384 is about 75657.7979060982. The cubic root of 5724102384 is about 1788.8302526744.

The spelling of 5724102384 in words is "five billion, seven hundred twenty-four million, one hundred two thousand, three hundred eighty-four".