3406517346415 has 16 divisors (see below), whose sum is σ = 4091052528288. Its totient is φ = 2723060100096.

The previous prime is 3406517346409. The next prime is 3406517346433. The reversal of 3406517346415 is 5146437156043.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-3406517346415 is a prime.

It is a super-2 number, since 2×3406517346415² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 42180664 + ... + 42261346.

It is an arithmetic number, because the mean of its divisors is an integer number (255690783018).

Almost surely, 2^{3406517346415} is an apocalyptic number.

3406517346415 is a deficient number, since it is larger than the sum of its proper divisors (684535181873).

3406517346415 is a wasteful number, since it uses less digits than its factorization.

3406517346415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87258.

The product of its (nonzero) digits is 3628800, while the sum is 49.

The spelling of 3406517346415 in words is "three trillion, four hundred six billion, five hundred seventeen million, three hundred forty-six thousand, four hundred fifteen".