3111444000 has 288 divisors, whose sum is σ = 12621038976. Its totient is φ = 711129600.

The previous prime is 3111443999. The next prime is 3111444031. The reversal of 3111444000 is 4441113.

3111444000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245827 + ... + 258173.

It is an arithmetic number, because the mean of its divisors is an integer number (43823052).

Almost surely, 2^3111444000 is an apocalyptic number.

3111444000 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 3111444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310519488).

3111444000 is an abundant number, since it is smaller than the sum of its proper divisors (9509594976).

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

3111444000 is a wasteful number, since it uses less digits than its factorization.

3111444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12385 (or 12364 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 3111444000 is about 55780.3191098796. The cubic root of 3111444000 is about 1459.8917790554.

Adding to 3111444000 its reverse (4441113), we get a palindrome (3115885113).

The spelling of 3111444000 in words is "three billion, one hundred eleven million, four hundred forty-four thousand".