3132638656 has 56 divisors (see below), whose sum is σ = 7113337056. Its totient is φ = 1340866560.

The previous prime is 3132638653. The next prime is 3132638669. The reversal of 3132638656 is 6568362313.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3132638651) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 390720 + ... + 398656.

It is an arithmetic number, because the mean of its divisors is an integer number (127023876).

Almost surely, 2^3132638656 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 3132638656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556668528).

3132638656 is an abundant number, since it is smaller than the sum of its proper divisors (3980698400).

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

3132638656 is an equidigital number, since it uses as much as digits as its factorization.

3132638656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8837 (or 8827 counting only the distinct ones).

The product of its digits is 466560, while the sum is 43.

The square root of 3132638656 is about 55969.9799535430. The cubic root of 3132638656 is about 1463.1991299874.

The spelling of 3132638656 in words is "three billion, one hundred thirty-two million, six hundred thirty-eight thousand, six hundred fifty-six".