3824644824 has 768 divisors, whose sum is σ = 15361920000. Its totient is φ = 868734720.

The previous prime is 3824644799. The next prime is 3824644829. The reversal of 3824644824 is 4284464283.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3824644824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3824644829) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 201297087 + ... + 201297105.

It is an arithmetic number, because the mean of its divisors is an integer number (20002500).

Almost surely, 2^3824644824 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 3824644824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7680960000).

3824644824 is an abundant number, since it is smaller than the sum of its proper divisors (11537275176).

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

3824644824 is a wasteful number, since it uses less digits than its factorization.

3824644824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 55 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 45.

The square root of 3824644824 is about 61843.7128898322. The cubic root of 3824644824 is about 1563.8569944446.

The spelling of 3824644824 in words is "three billion, eight hundred twenty-four million, six hundred forty-four thousand, eight hundred twenty-four".