3145441152 has 128 divisors (see below), whose sum is σ = 9878169600. Its totient is φ = 867686400.

The previous prime is 3145441129. The next prime is 3145441171. The reversal of 3145441152 is 2511445413.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57777 + ... + 98127.

It is an arithmetic number, because the mean of its divisors is an integer number (77173200).

Almost surely, 2^3145441152 is an apocalyptic number.

3145441152 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 3145441152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939084800).

3145441152 is an abundant number, since it is smaller than the sum of its proper divisors (6732728448).

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

3145441152 is a wasteful number, since it uses less digits than its factorization.

3145441152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40404 (or 40392 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 3145441152 is about 56084.2326505409. The cubic root of 3145441152 is about 1465.1896925760.

Adding to 3145441152 its reverse (2511445413), we get a palindrome (5656886565).

The spelling of 3145441152 in words is "three billion, one hundred forty-five million, four hundred forty-one thousand, one hundred fifty-two".