3145544064 has 256 divisors, whose sum is σ = 10194206400. Its totient is φ = 948879360.

The previous prime is 3145544057. The next prime is 3145544123. The reversal of 3145544064 is 4604455413.

3145544064 is a `hidden beast` number, since 3 + 1 + 4 + 554 + 40 + 64 = 666.

3145544064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2380524 + ... + 2381844.

Almost surely, 2^3145544064 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 3145544064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097103200).

3145544064 is an abundant number, since it is smaller than the sum of its proper divisors (7048662336).

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

3145544064 is a wasteful number, since it uses less digits than its factorization.

3145544064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1410 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 3145544064 is about 56085.1501201521. The cubic root of 3145544064 is about 1465.2056716761.

Adding to 3145544064 its reverse (4604455413), we get a palindrome (7749999477).

The spelling of 3145544064 in words is "three billion, one hundred forty-five million, five hundred forty-four thousand, sixty-four".