3166943472 has 480 divisors, whose sum is σ = 11587829760. Its totient is φ = 783751680.

The previous prime is 3166943459. The next prime is 3166943489. The reversal of 3166943472 is 2743496613.

3166943472 is a `hidden beast` number, since 31 + 66 + 94 + 3 + 472 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30746973 + ... + 30747075.

It is an arithmetic number, because the mean of its divisors is an integer number (24141312).

Almost surely, 2^3166943472 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 3166943472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5793914880).

3166943472 is an abundant number, since it is smaller than the sum of its proper divisors (8420886288).

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

3166943472 is a wasteful number, since it uses less digits than its factorization.

3166943472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 232 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 3166943472 is about 56275.6028132973. The cubic root of 3166943472 is about 1468.5208055417.

The spelling of 3166943472 in words is "three billion, one hundred sixty-six million, nine hundred forty-three thousand, four hundred seventy-two".