3712807680000 has 480 divisors, whose sum is σ = 12554527265280. Its totient is φ = 975237120000.

The previous prime is 3712807679983. The next prime is 3712807680031. The reversal of 3712807680000 is 867082173.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 257272785 + ... + 257287215.

It is an arithmetic number, because the mean of its divisors is an integer number (26155265136).

Almost surely, 2^{3712807680000} is an apocalyptic number.

3712807680000 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 3712807680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6277263632640).

3712807680000 is an abundant number, since it is smaller than the sum of its proper divisors (8841719585280).

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

3712807680000 is an equidigital number, since it uses as much as digits as its factorization.

3712807680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14543 (or 14508 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 3712807680000 in words is "three trillion, seven hundred twelve billion, eight hundred seven million, six hundred eighty thousand".