3142444000 has 96 divisors (see below), whose sum is σ = 8056915776. Its totient is φ = 1202291200.

The previous prime is 3142443919. The next prime is 3142444013. The reversal of 3142444000 is 4442413.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74922 + ... + 109078.

It is an arithmetic number, because the mean of its divisors is an integer number (83926206).

Almost surely, 2^3142444000 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 3142444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028457888).

3142444000 is an abundant number, since it is smaller than the sum of its proper divisors (4914471776).

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

3142444000 is a wasteful number, since it uses less digits than its factorization.

3142444000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34205 (or 34187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 3142444000 is about 56057.5061878425. The cubic root of 3142444000 is about 1464.7241731641.

Adding to 3142444000 its reverse (4442413), we get a palindrome (3146886413).

The spelling of 3142444000 in words is "three billion, one hundred forty-two million, four hundred forty-four thousand".