3789870196800 has 672 divisors, whose sum is σ = 13087532880000. Its totient is φ = 958867374080.

The previous prime is 3789870196793. The next prime is 3789870196877. The reversal of 3789870196800 is 86910789873.

3789870196800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3789870196800² (a number of 26 digits) contains 22 as substring.

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, 2217594346 + ... + 2217596054.

Almost surely, 2^{3789870196800} is an apocalyptic number.

3789870196800 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 3789870196800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6543766440000).

3789870196800 is an abundant number, since it is smaller than the sum of its proper divisors (9297662683200).

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

3789870196800 is a wasteful number, since it uses less digits than its factorization.

3789870196800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 66.

The spelling of 3789870196800 in words is "three trillion, seven hundred eighty-nine billion, eight hundred seventy million, one hundred ninety-six thousand, eight hundred".