3166803694080 has 480 divisors, whose sum is σ = 12505984034544. Its totient is φ = 733665558528.

The previous prime is 3166803694057. The next prime is 3166803694081. The reversal of 3166803694080 is 804963086613.

3166803694080 is a `hidden beast` number, since 3 + 166 + 8 + 0 + 369 + 40 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1117874831616 + 2048928862464 = 1057296^2 + 1431408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3166803694081) 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, 4780872 + ... + 5402808.

Almost surely, 2^{3166803694080} is an apocalyptic number.

3166803694080 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 3166803694080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252992017272).

3166803694080 is an abundant number, since it is smaller than the sum of its proper divisors (9339180340464).

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

3166803694080 is a wasteful number, since it uses less digits than its factorization.

3166803694080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621996 (or 621977 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3166803694080 in words is "three trillion, one hundred sixty-six billion, eight hundred three million, six hundred ninety-four thousand, eighty".