3166113600 has 378 divisors, whose sum is σ = 12194692146. Its totient is φ = 778752000.

The previous prime is 3166113571. The next prime is 3166113611. The reversal of 3166113600 is 63116613.

It is a happy number.

3166113600 is a `hidden beast` number, since 3 + 16 + 611 + 36 + 0 + 0 = 666.

3166113600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 9 ways, for example, as 2936772864 + 229340736 = 54192^2 + 15144^2 .

It is a super-3 number, since 3×3166113600³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2432950 + ... + 2434250.

Almost surely, 2^3166113600 is an apocalyptic number.

3166113600 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 3166113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6097346073).

3166113600 is an abundant number, since it is smaller than the sum of its proper divisors (9028578546).

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

3166113600 is a wasteful number, since it uses less digits than its factorization.

3166113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 3166113600 is about 56268.2290462389. The cubic root of 3166113600 is about 1468.3925229907.

The spelling of 3166113600 in words is "three billion, one hundred sixty-six million, one hundred thirteen thousand, six hundred".