3166666535200 has 288 divisors, whose sum is σ = 8879028955776. Its totient is φ = 1080315740160.

The previous prime is 3166666535171. The next prime is 3166666535203. The reversal of 3166666535200 is 25356666613.

It is not an unprimeable number, because it can be changed into a prime (3166666535203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1827273534 + ... + 1827275266.

It is an arithmetic number, because the mean of its divisors is an integer number (30829961652).

Almost surely, 2^{3166666535200} 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 3166666535200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439514477888).

3166666535200 is an abundant number, since it is smaller than the sum of its proper divisors (5712362420576).

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

3166666535200 is a wasteful number, since it uses less digits than its factorization.

3166666535200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3183 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 49.

The spelling of 3166666535200 in words is "three trillion, one hundred sixty-six billion, six hundred sixty-six million, five hundred thirty-five thousand, two hundred".