3413431776 has 192 divisors, whose sum is σ = 9971942400. Its totient is φ = 1017870336.

The previous prime is 3413431739. The next prime is 3413431799. The reversal of 3413431776 is 6771343143.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2485426 + ... + 2486798.

It is an arithmetic number, because the mean of its divisors is an integer number (51937200).

Almost surely, 2^3413431776 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 3413431776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4985971200).

3413431776 is an abundant number, since it is smaller than the sum of its proper divisors (6558510624).

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

3413431776 is a wasteful number, since it uses less digits than its factorization.

3413431776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1473 counting only the distinct ones).

The product of its digits is 127008, while the sum is 39.

The square root of 3413431776 is about 58424.5819497239. The cubic root of 3413431776 is about 1505.6721207730.

The spelling of 3413431776 in words is "three billion, four hundred thirteen million, four hundred thirty-one thousand, seven hundred seventy-six".