3144514752 has 168 divisors, whose sum is σ = 9687830256. Its totient is φ = 971587584.

The previous prime is 3144514741. The next prime is 3144514757. The reversal of 3144514752 is 2574154413.

3144514752 is a `hidden beast` number, since 31 + 44 + 514 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3144514757) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 653668 + ... + 658460.

Almost surely, 2^3144514752 is an apocalyptic number.

3144514752 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 3144514752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843915128).

3144514752 is an abundant number, since it is smaller than the sum of its proper divisors (6543315504).

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

3144514752 is a wasteful number, since it uses less digits than its factorization.

3144514752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4895 (or 4882 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 3144514752 is about 56075.9730365867. The cubic root of 3144514752 is about 1465.0458351705.

The spelling of 3144514752 in words is "three billion, one hundred forty-four million, five hundred fourteen thousand, seven hundred fifty-two".