3133323440 has 160 divisors (see below), whose sum is σ = 8303843520. Its totient is φ = 1089994752.

The previous prime is 3133323437. The next prime is 3133323461. The reversal of 3133323440 is 443233313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 5078012 + ... + 5078628.

It is an arithmetic number, because the mean of its divisors is an integer number (51899022).

Almost surely, 2^3133323440 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 3133323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151921760).

3133323440 is an abundant number, since it is smaller than the sum of its proper divisors (5170520080).

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

3133323440 is a wasteful number, since it uses less digits than its factorization.

3133323440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 26.

The square root of 3133323440 is about 55976.0970415051. The cubic root of 3133323440 is about 1463.3057389799.

Adding to 3133323440 its reverse (443233313), we get a palindrome (3576556753).

The spelling of 3133323440 in words is "three billion, one hundred thirty-three million, three hundred twenty-three thousand, four hundred forty".