3199678420800 has 168 divisors, whose sum is σ = 10504145164896. Its totient is φ = 852716533760.

The previous prime is 3199678420793. The next prime is 3199678420853. The reversal of 3199678420800 is 80248769913.

3199678420800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7535767 + ... + 7949033.

Almost surely, 2^{3199678420800} is an apocalyptic number.

3199678420800 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 3199678420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5252072582448).

3199678420800 is an abundant number, since it is smaller than the sum of its proper divisors (7304466744096).

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

3199678420800 is a wasteful number, since it uses less digits than its factorization.

3199678420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414905 (or 414890 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 3199678420800 in words is "three trillion, one hundred ninety-nine billion, six hundred seventy-eight million, four hundred twenty thousand, eight hundred".