5384434176 has 600 divisors, whose sum is σ = 18767978460. Its totient is φ = 1532805120.

The previous prime is 5384434109. The next prime is 5384434201. The reversal of 5384434176 is 6714344835.

5384434176 is a `hidden beast` number, since 5 + 38 + 443 + 4 + 176 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5080838400 + 303595776 = 71280^2 + 17424^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 145525230 + ... + 145525266.

Almost surely, 2^5384434176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5384434176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9383989230).

5384434176 is an abundant number, since it is smaller than the sum of its proper divisors (13383544284).

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

5384434176 is a wasteful number, since it uses less digits than its factorization.

5384434176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 82 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 5384434176 is about 73378.7038315614. The cubic root of 5384434176 is about 1752.7232892740.

The spelling of 5384434176 in words is "five billion, three hundred eighty-four million, four hundred thirty-four thousand, one hundred seventy-six".