3199112000 has 168 divisors, whose sum is σ = 9217216008. Its totient is φ = 1096704000.

The previous prime is 3199111987. The next prime is 3199112017. The reversal of 3199112000 is 2119913.

3199112000 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 4 ways, for example, as 242362624 + 2956749376 = 15568^2 + 54376^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387920 + ... + 396080.

It is an arithmetic number, because the mean of its divisors is an integer number (54864381).

Almost surely, 2^3199112000 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 3199112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4608608004).

3199112000 is an abundant number, since it is smaller than the sum of its proper divisors (6018104008).

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

3199112000 is an equidigital number, since it uses as much as digits as its factorization.

3199112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8202 (or 8175 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 3199112000 is about 56560.6930650607. The cubic root of 3199112000 is about 1473.4762776802.

The spelling of 3199112000 in words is "three billion, one hundred ninety-nine million, one hundred twelve thousand".