3142723584 has 576 divisors, whose sum is σ = 11607261120. Its totient is φ = 743178240.

The previous prime is 3142723553. The next prime is 3142723607. The reversal of 3142723584 is 4853272413.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43050972 + ... + 43051044.

It is an arithmetic number, because the mean of its divisors is an integer number (20151495).

Almost surely, 2^3142723584 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 3142723584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803630560).

3142723584 is an abundant number, since it is smaller than the sum of its proper divisors (8464537536).

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

3142723584 is a wasteful number, since it uses less digits than its factorization.

3142723584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 109 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 3142723584 is about 56059.9998572958. Note that the first 3 decimals coincide. The cubic root of 3142723584 is about 1464.7676108301.

Adding to 3142723584 its reverse (4853272413), we get a palindrome (7995995997).

The spelling of 3142723584 in words is "three billion, one hundred forty-two million, seven hundred twenty-three thousand, five hundred eighty-four".