3824824640 has 448 divisors, whose sum is σ = 12234915840. Its totient is φ = 1104814080.

The previous prime is 3824824603. The next prime is 3824824691. The reversal of 3824824640 is 464284283.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×3824824640³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17151569 + ... + 17151791.

It is an arithmetic number, because the mean of its divisors is an integer number (27310080).

Almost surely, 2^3824824640 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 3824824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6117457920).

3824824640 is an abundant number, since it is smaller than the sum of its proper divisors (8410091200).

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

3824824640 is a wasteful number, since it uses less digits than its factorization.

3824824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 41.

The square root of 3824824640 is about 61845.1666664421. The cubic root of 3824824640 is about 1563.8815023501.

The spelling of 3824824640 in words is "three billion, eight hundred twenty-four million, eight hundred twenty-four thousand, six hundred forty".