3166197120 has 384 divisors, whose sum is σ = 11599236000. Its totient is φ = 816168960.

The previous prime is 3166197109. The next prime is 3166197127. The reversal of 3166197120 is 217916613.

3166197120 is a `hidden beast` number, since 3 + 16 + 619 + 7 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3166197127) 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, 29047626 + ... + 29047734.

Almost surely, 2^3166197120 is an apocalyptic number.

3166197120 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 3166197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799618000).

3166197120 is an abundant number, since it is smaller than the sum of its proper divisors (8433038880).

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

3166197120 is a wasteful number, since it uses less digits than its factorization.

3166197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3166197120 is about 56268.9712008315. The cubic root of 3166197120 is about 1468.4054346210.

The spelling of 3166197120 in words is "three billion, one hundred sixty-six million, one hundred ninety-seven thousand, one hundred twenty".