3145523328 has 256 divisors, whose sum is σ = 10102406400. Its totient is φ = 959496192.

The previous prime is 3145523327. The next prime is 3145523347. The reversal of 3145523328 is 8233255413.

3145523328 is a `hidden beast` number, since 314 + 5 + 5 + 2 + 332 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3145523292 and 3145523301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3145523327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2173101 + ... + 2174547.

It is an arithmetic number, because the mean of its divisors is an integer number (39462525).

Almost surely, 2^3145523328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145523328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5051203200).

3145523328 is an abundant number, since it is smaller than the sum of its proper divisors (6956883072).

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

3145523328 is a wasteful number, since it uses less digits than its factorization.

3145523328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524 (or 1506 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 3145523328 is about 56084.9652580796. The cubic root of 3145523328 is about 1465.2024520347.

The spelling of 3145523328 in words is "three billion, one hundred forty-five million, five hundred twenty-three thousand, three hundred twenty-eight".