3111892992 has 432 divisors, whose sum is σ = 10365493320. Its totient is φ = 931627008.

The previous prime is 3111892963. The next prime is 3111893003. The reversal of 3111892992 is 2992981113.

It is a tau number, because it is divible by the number of its divisors (432).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84105198 + ... + 84105234.

Almost surely, 2^3111892992 is an apocalyptic number.

3111892992 is a gapful number since it is divisible by the number (32) 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 3111892992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182746660).

3111892992 is an abundant number, since it is smaller than the sum of its proper divisors (7253600328).

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

3111892992 is an equidigital number, since it uses as much as digits as its factorization.

3111892992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 55 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 3111892992 is about 55784.3436100130. The cubic root of 3111892992 is about 1459.9619981352.

The spelling of 3111892992 in words is "three billion, one hundred eleven million, eight hundred ninety-two thousand, nine hundred ninety-two".