4363684416 has 336 divisors, whose sum is σ = 15717520000. Its totient is φ = 1150184448.

The previous prime is 4363684411. The next prime is 4363684439. The reversal of 4363684416 is 6144863634.

It is a happy number.

4363684416 is a `hidden beast` number, since 4 + 3 + 636 + 8 + 4 + 4 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×4363684416² = 38083483364882522112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4363684411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2567535 + ... + 2569233.

Almost surely, 2^4363684416 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 4363684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7858760000).

4363684416 is an abundant number, since it is smaller than the sum of its proper divisors (11353835584).

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

4363684416 is a wasteful number, since it uses less digits than its factorization.

4363684416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1751 (or 1724 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 4363684416 is about 66058.1896209698. The cubic root of 4363684416 is about 1634.1218795592.

The spelling of 4363684416 in words is "four billion, three hundred sixty-three million, six hundred eighty-four thousand, four hundred sixteen".