3410676405 has 48 divisors (see below), whose sum is σ = 6034869360. Its totient is φ = 1781305344.

The previous prime is 3410676403. The next prime is 3410676407. The reversal of 3410676405 is 5046760143.

It is a happy number.

3410676405 is a `hidden beast` number, since 3 + 4 + 1 + 0 + 6 + 7 + 640 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3410676403) and next prime (3410676407).

It can be written as a sum of positive squares in 8 ways, for example, as 2802276 + 3407874129 = 1674^2 + 58377^2 .

It is not a de Polignac number, because 3410676405 - 2¹ = 3410676403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3410676405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3410676403) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1689957 + ... + 1691973.

It is an arithmetic number, because the mean of its divisors is an integer number (125726445).

Almost surely, 2^3410676405 is an apocalyptic number.

It is an amenable number.

3410676405 is a deficient number, since it is larger than the sum of its proper divisors (2624192955).

3410676405 is a wasteful number, since it uses less digits than its factorization.

3410676405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3410676405 is about 58400.9966096470. The cubic root of 3410676405 is about 1505.2668783500.

The spelling of 3410676405 in words is "three billion, four hundred ten million, six hundred seventy-six thousand, four hundred five".