3132557064 has 240 divisors, whose sum is σ = 10993128300. Its totient is φ = 826060032.

The previous prime is 3132557047. The next prime is 3132557069. The reversal of 3132557064 is 4607552313.

3132557064 is a `hidden beast` number, since 3 + 1 + 3 + 25 + 570 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2328834564 + 803722500 = 48258^2 + 28350^2 .

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 (3132557069) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 408982 + ... + 416570.

Almost surely, 2^3132557064 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 3132557064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5496564150).

3132557064 is an abundant number, since it is smaller than the sum of its proper divisors (7860571236).

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

3132557064 is a wasteful number, since it uses less digits than its factorization.

3132557064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7634 (or 7614 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3132557064 is about 55969.2510580587. The cubic root of 3132557064 is about 1463.1864264923.

The spelling of 3132557064 in words is "three billion, one hundred thirty-two million, five hundred fifty-seven thousand, sixty-four".