3999878524800 has 576 divisors, whose sum is σ = 14931876173760. Its totient is φ = 1018463846400.

The previous prime is 3999878524793. The next prime is 3999878524813. The reversal of 3999878524800 is 84258789993.

3999878524800 is a `hidden beast` number, since 3 + 9 + 9 + 98 + 7 + 8 + 52 + 480 + 0 = 666.

3999878524800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55461564 + ... + 55533636.

It is an arithmetic number, because the mean of its divisors is an integer number (25923396135).

Almost surely, 2^{3999878524800} is an apocalyptic number.

3999878524800 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 3999878524800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7465938086880).

3999878524800 is an abundant number, since it is smaller than the sum of its proper divisors (10931997648960).

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

3999878524800 is a wasteful number, since it uses less digits than its factorization.

3999878524800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72191 (or 72171 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 72.

The spelling of 3999878524800 in words is "three trillion, nine hundred ninety-nine billion, eight hundred seventy-eight million, five hundred twenty-four thousand, eight hundred".