3981507506000 has 320 divisors, whose sum is σ = 10423297437696. Its totient is φ = 1466631936000.

The previous prime is 3981507505991. The next prime is 3981507506021. The reversal of 3981507506000 is 6057051893.

3981507506000 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 63 ways as a sum of consecutive naturals, for example, 280914914 + ... + 280929086.

Almost surely, 2^{3981507506000} 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 3981507506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211648718848).

3981507506000 is an abundant number, since it is smaller than the sum of its proper divisors (6441789931696).

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

3981507506000 is a wasteful number, since it uses less digits than its factorization.

3981507506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 44.

The spelling of 3981507506000 in words is "three trillion, nine hundred eighty-one billion, five hundred seven million, five hundred six thousand".