3144694752 has 240 divisors, whose sum is σ = 9589612032. Its totient is φ = 1010257920.

The previous prime is 3144694727. The next prime is 3144694783. The reversal of 3144694752 is 2574964413.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3144694698 and 3144694707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13496428 + ... + 13496660.

Almost surely, 2^3144694752 is an apocalyptic number.

3144694752 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 3144694752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4794806016).

3144694752 is an abundant number, since it is smaller than the sum of its proper divisors (6444917280).

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

3144694752 is a wasteful number, since it uses less digits than its factorization.

3144694752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3144694752 is about 56077.5779790818. The cubic root of 3144694752 is about 1465.0737889503.

The spelling of 3144694752 in words is "three billion, one hundred forty-four million, six hundred ninety-four thousand, seven hundred fifty-two".