3413331104 has 48 divisors (see below), whose sum is σ = 6932305800. Its totient is φ = 1653156864.

The previous prime is 3413331073. The next prime is 3413331109. The reversal of 3413331104 is 4011333143.

It can be written as a sum of positive squares in 4 ways, for example, as 3334831504 + 78499600 = 57748^2 + 8860^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3413331104.

It is not an unprimeable number, because it can be changed into a prime (3413331109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 264842 + ... + 277430.

Almost surely, 2^3413331104 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 3413331104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466152900).

3413331104 is an abundant number, since it is smaller than the sum of its proper divisors (3518974696).

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

3413331104 is a wasteful number, since it uses less digits than its factorization.

3413331104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12865 (or 12857 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 3413331104 is about 58423.7203882122. The cubic root of 3413331104 is about 1505.6573184154.

Adding to 3413331104 its reverse (4011333143), we get a palindrome (7424664247).

The spelling of 3413331104 in words is "three billion, four hundred thirteen million, three hundred thirty-one thousand, one hundred four".