3968299024800 has 576 divisors, whose sum is σ = 14935950288000. Its totient is φ = 904452505600.

The previous prime is 3968299024799. The next prime is 3968299024843. The reversal of 3968299024800 is 84209928693.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 470786986 + ... + 470795414.

It is an arithmetic number, because the mean of its divisors is an integer number (25930469250).

Almost surely, 2^{3968299024800} is an apocalyptic number.

3968299024800 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 3968299024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467975144000).

3968299024800 is an abundant number, since it is smaller than the sum of its proper divisors (10967651263200).

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

3968299024800 is a wasteful number, since it uses less digits than its factorization.

3968299024800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9529 (or 9516 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 3968299024800 in words is "three trillion, nine hundred sixty-eight billion, two hundred ninety-nine million, twenty-four thousand, eight hundred".