3133855004928 has 288 divisors, whose sum is σ = 8525560759296. Its totient is φ = 1021761921024.

The previous prime is 3133855004909. The next prime is 3133855004971. The reversal of 3133855004928 is 8294005583313.

It is a super-3 number, since 3×3133855004928³ (a number of 38 digits) contains 333 as substring.

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, 4873802175 + ... + 4873802817.

Almost surely, 2^{3133855004928} 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 3133855004928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4262780379648).

3133855004928 is an abundant number, since it is smaller than the sum of its proper divisors (5391705754368).

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

3133855004928 is a wasteful number, since it uses less digits than its factorization.

3133855004928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 3133855004928 in words is "three trillion, one hundred thirty-three billion, eight hundred fifty-five million, four thousand, nine hundred twenty-eight".