3144254432 has 96 divisors (see below), whose sum is σ = 6940080000. Its totient is φ = 1390144000.

The previous prime is 3144254429. The next prime is 3144254441. The reversal of 3144254432 is 2344524413.

3144254432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 2096819 + ... + 2098317.

It is an arithmetic number, because the mean of its divisors is an integer number (72292500).

Almost surely, 2^3144254432 is an apocalyptic number.

3144254432 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 3144254432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3470040000).

3144254432 is an abundant number, since it is smaller than the sum of its proper divisors (3795825568).

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

3144254432 is a wasteful number, since it uses less digits than its factorization.

3144254432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1672 counting only the distinct ones).

The product of its digits is 46080, while the sum is 32.

The square root of 3144254432 is about 56073.6518518279. The cubic root of 3144254432 is about 1465.0054059060.

Adding to 3144254432 its reverse (2344524413), we get a palindrome (5488778845).

The spelling of 3144254432 in words is "three billion, one hundred forty-four million, two hundred fifty-four thousand, four hundred thirty-two".