4917936384 has 135 divisors (see below), whose sum is σ = 14694569967. Its totient is φ = 1635945984.

The previous prime is 4917936329. The next prime is 4917936389. The reversal of 4917936384 is 4836397194.

It is a happy number.

The square root of 4917936384 is 70128.

It is a perfect power (a square), and thus also a powerful number.

4917936384 is a `hidden beast` number, since 491 + 7 + 93 + 63 + 8 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4917936384.

It is not an unprimeable number, because it can be changed into a prime (4917936389) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10098189 + ... + 10098675.

Almost surely, 2^4917936384 is an apocalyptic number.

4917936384 is the 70128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4917936384

4917936384 is an abundant number, since it is smaller than the sum of its proper divisors (9776633583).

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

4917936384 is an frugal number, since it uses more digits than its factorization.

4917936384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 492 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The cubic root of 4917936384 is about 1700.5691731983.

The spelling of 4917936384 in words is "four billion, nine hundred seventeen million, nine hundred thirty-six thousand, three hundred eighty-four".