3824516424960 has 1728 divisors, whose sum is σ = 17269952878080. Its totient is φ = 794212024320.

The previous prime is 3824516424943. The next prime is 3824516424977. The reversal of 3824516424960 is 694246154283.

3824516424960 is a `hidden beast` number, since 3 + 8 + 24 + 516 + 4 + 2 + 49 + 60 = 666.

3824516424960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3824516424943) and next prime (3824516424977).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×3824516424960² (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3824516424897 and 3824516424906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2371057114 + ... + 2371058726.

Almost surely, 2^{3824516424960} is an apocalyptic number.

3824516424960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3824516424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634976439040).

3824516424960 is an abundant number, since it is smaller than the sum of its proper divisors (13445436453120).

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

3824516424960 is an equidigital number, since it uses as much as digits as its factorization.

3824516424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 3824516424960 in words is "three trillion, eight hundred twenty-four billion, five hundred sixteen million, four hundred twenty-four thousand, nine hundred sixty".