3112473600 has 660 divisors, whose sum is σ = 12285275200. Its totient is φ = 776355840.

The previous prime is 3112473599. The next prime is 3112473613. The reversal of 3112473600 is 63742113.

3112473600 is a `hidden beast` number, since 3 + 1 + 12 + 47 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39398361 + ... + 39398439.

Almost surely, 2^3112473600 is an apocalyptic number.

3112473600 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 3112473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142637600).

3112473600 is an abundant number, since it is smaller than the sum of its proper divisors (9172801600).

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

3112473600 is a wasteful number, since it uses less digits than its factorization.

3112473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3112473600 is about 55789.5474080943. The cubic root of 3112473600 is about 1460.0527909854.

The spelling of 3112473600 in words is "three billion, one hundred twelve million, four hundred seventy-three thousand, six hundred".