3133412320 has 96 divisors (see below), whose sum is σ = 7521413760. Its totient is φ = 1233408000.

The previous prime is 3133412251. The next prime is 3133412323. The reversal of 3133412320 is 232143313.

It is a junction number, because it is equal to n+sod(n) for n = 3133412291 and 3133412300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133412323) 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, 4171945 + ... + 4172695.

It is an arithmetic number, because the mean of its divisors is an integer number (78348060).

Almost surely, 2^3133412320 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 3133412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760706880).

3133412320 is an abundant number, since it is smaller than the sum of its proper divisors (4388001440).

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

3133412320 is a wasteful number, since it uses less digits than its factorization.

3133412320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

The square root of 3133412320 is about 55976.8909461753. The cubic root of 3133412320 is about 1463.3195749155.

Adding to 3133412320 its reverse (232143313), we get a palindrome (3365555633).

The spelling of 3133412320 in words is "three billion, one hundred thirty-three million, four hundred twelve thousand, three hundred twenty".