3133310004 has 108 divisors (see below), whose sum is σ = 8727666948. Its totient is φ = 947105280.

The previous prime is 3133309981. The next prime is 3133310029. The reversal of 3133310004 is 4000133313.

It can be written as a sum of positive squares in 2 ways, for example, as 862596900 + 2270713104 = 29370^2 + 47652^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2582502 + ... + 2583714.

It is an arithmetic number, because the mean of its divisors is an integer number (80811731).

Almost surely, 2^3133310004 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 3133310004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4363833474).

3133310004 is an abundant number, since it is smaller than the sum of its proper divisors (5594356944).

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

3133310004 is a wasteful number, since it uses less digits than its factorization.

3133310004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 3133310004 is about 55975.9770258635. The cubic root of 3133310004 is about 1463.3036473771.

Adding to 3133310004 its reverse (4000133313), we get a palindrome (7133443317).

The spelling of 3133310004 in words is "three billion, one hundred thirty-three million, three hundred ten thousand, four".