3145041120 has 384 divisors, whose sum is σ = 11522165760. Its totient is φ = 714424320.

The previous prime is 3145041073. The next prime is 3145041127. The reversal of 3145041120 is 211405413.

3145041120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145041127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4860637 + ... + 4861283.

It is an arithmetic number, because the mean of its divisors is an integer number (30005640).

Almost surely, 2^3145041120 is an apocalyptic number.

3145041120 is a gapful number since it is divisible by the number (30) 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 3145041120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5761082880).

3145041120 is an abundant number, since it is smaller than the sum of its proper divisors (8377124640).

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

3145041120 is a wasteful number, since it uses less digits than its factorization.

3145041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 3145041120 is about 56080.6661871986. Note that the first 3 decimals coincide. The cubic root of 3145041120 is about 1465.1275764759.

Adding to 3145041120 its reverse (211405413), we get a palindrome (3356446533).

The spelling of 3145041120 in words is "three billion, one hundred forty-five million, forty-one thousand, one hundred twenty".