3133126656 has 480 divisors, whose sum is σ = 10916745840. Its totient is φ = 884736000.

The previous prime is 3133126603. The next prime is 3133126669. The reversal of 3133126656 is 6566213313.

3133126656 is a `hidden beast` number, since 313 + 31 + 266 + 56 = 666.

3133126656 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 self number, because there is not a number n which added to its sum of digits gives 3133126656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 31021006 + ... + 31021106.

Almost surely, 2^3133126656 is an apocalyptic number.

3133126656 is a gapful number since it is divisible by the number (36) 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 3133126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458372920).

3133126656 is an abundant number, since it is smaller than the sum of its proper divisors (7783619184).

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

3133126656 is a wasteful number, since it uses less digits than its factorization.

3133126656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 3133126656 is about 55974.3392636304. The cubic root of 3133126656 is about 1463.2751047145.

Adding to 3133126656 its reverse (6566213313), we get a palindrome (9699339969).

The spelling of 3133126656 in words is "three billion, one hundred thirty-three million, one hundred twenty-six thousand, six hundred fifty-six".