3133414328 has 64 divisors (see below), whose sum is σ = 6545340000. Its totient is φ = 1394265600.

The previous prime is 3133414327. The next prime is 3133414331. The reversal of 3133414328 is 8234143313.

3133414328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3133414294 and 3133414303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133414327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1227998 + ... + 1230546.

Almost surely, 2^3133414328 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 3133414328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272670000).

3133414328 is an abundant number, since it is smaller than the sum of its proper divisors (3411925672).

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

3133414328 is a wasteful number, since it uses less digits than its factorization.

3133414328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2856 (or 2852 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 3133414328 is about 55976.9088821453. The cubic root of 3133414328 is about 1463.3198874975.

It can be divided in two parts, 3 and 133414328, that added together give a palindrome (133414331).

The spelling of 3133414328 in words is "three billion, one hundred thirty-three million, four hundred fourteen thousand, three hundred twenty-eight".