3824247168 has 640 divisors, whose sum is σ = 14217984000. Its totient is φ = 996323328.

The previous prime is 3824247151. The next prime is 3824247179. The reversal of 3824247168 is 8617424283.

It is a happy number.

3824247168 is a `hidden beast` number, since 3 + 82 + 42 + 471 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48408153 + ... + 48408231.

It is an arithmetic number, because the mean of its divisors is an integer number (22215600).

Almost surely, 2^3824247168 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 3824247168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7108992000).

3824247168 is an abundant number, since it is smaller than the sum of its proper divisors (10393736832).

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

3824247168 is a wasteful number, since it uses less digits than its factorization.

3824247168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 3824247168 is about 61840.4977987726. The cubic root of 3824247168 is about 1563.8027934491.

The spelling of 3824247168 in words is "three billion, eight hundred twenty-four million, two hundred forty-seven thousand, one hundred sixty-eight".