3966587330160 has 960 divisors, whose sum is σ = 16342749247104. Its totient is φ = 786117427200.

The previous prime is 3966587330141. The next prime is 3966587330197. The reversal of 3966587330160 is 610337856693.

It is a self number, because there is not a number n which added to its sum of digits gives 3966587330160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1665932170 + ... + 1665934550.

Almost surely, 2^{3966587330160} is an apocalyptic number.

3966587330160 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 3966587330160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8171374623552).

3966587330160 is an abundant number, since it is smaller than the sum of its proper divisors (12376161916944).

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

3966587330160 is a wasteful number, since it uses less digits than its factorization.

3966587330160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 3966587330160 in words is "three trillion, nine hundred sixty-six billion, five hundred eighty-seven million, three hundred thirty thousand, one hundred sixty".