3999864668800 has 864 divisors, whose sum is σ = 13606727980860. Its totient is φ = 1150739251200.

The previous prime is 3999864668791. The next prime is 3999864668857. The reversal of 3999864668800 is 88664689993.

It can be written as a sum of positive squares in 6 ways, for example, as 1317004121664 + 2682860547136 = 1147608^2 + 1637944^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 246638292 + ... + 246654508.

Almost surely, 2^{3999864668800} 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 3999864668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6803363990430).

3999864668800 is an abundant number, since it is smaller than the sum of its proper divisors (9606863312060).

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

3999864668800 is a wasteful number, since it uses less digits than its factorization.

3999864668800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16290 (or 16255 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 76.

It can be divided in two parts, 3999864 and 668800, that added together give a palindrome (4668664).

The spelling of 3999864668800 in words is "three trillion, nine hundred ninety-nine billion, eight hundred sixty-four million, six hundred sixty-eight thousand, eight hundred".