3140444000 has 96 divisors (see below), whose sum is σ = 8170134336. Its totient is φ = 1182259200.

The previous prime is 3140443993. The next prime is 3140444039. The reversal of 3140444000 is 4440413.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44909 + ... + 91091.

It is an arithmetic number, because the mean of its divisors is an integer number (85105566).

Almost surely, 2^3140444000 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 3140444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085067168).

3140444000 is an abundant number, since it is smaller than the sum of its proper divisors (5029690336).

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

3140444000 is a wasteful number, since it uses less digits than its factorization.

3140444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46225 (or 46207 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 3140444000 is about 56039.6645243349. The cubic root of 3140444000 is about 1464.4133673024.

Adding to 3140444000 its reverse (4440413), we get a palindrome (3144884413).

The spelling of 3140444000 in words is "three billion, one hundred forty million, four hundred forty-four thousand".