3166166016 has 352 divisors, whose sum is σ = 10564485120. Its totient is φ = 929415168.

The previous prime is 3166165999. The next prime is 3166166027. The reversal of 3166166016 is 6106616613.

3166166016 = 48³ + 49³ + ... + 335³.

It is a happy number.

3166166016 is a `hidden beast` number, since 31 + 6 + 6 + 16 + 601 + 6 = 666.

3166166016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8266561 + ... + 8266943.

Almost surely, 2^3166166016 is an apocalyptic number.

3166166016 is a gapful number since it is divisible by the number (36) 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 3166166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282242560).

3166166016 is an abundant number, since it is smaller than the sum of its proper divisors (7398319104).

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

3166166016 is a wasteful number, since it uses less digits than its factorization.

3166166016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3166166016 is about 56268.6948133685. The cubic root of 3166166016 is about 1468.4006261783.

The spelling of 3166166016 in words is "three billion, one hundred sixty-six million, one hundred sixty-six thousand, sixteen".