3417947424 has 72 divisors (see below), whose sum is σ = 10054977660. Its totient is φ = 1100026368.

The previous prime is 3417947371. The next prime is 3417947431. The reversal of 3417947424 is 4247497143.

3417947424 is a `hidden beast` number, since 3 + 4 + 179 + 474 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3255843600 + 162103824 = 57060^2 + 12732^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3417947424.

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 11 ways as a sum of consecutive naturals, for example, 196267 + ... + 212970.

Almost surely, 2^3417947424 is an apocalyptic number.

It is an amenable number.

3417947424 is an abundant number, since it is smaller than the sum of its proper divisors (6637030236).

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

3417947424 is a wasteful number, since it uses less digits than its factorization.

3417947424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409282 (or 409271 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 3417947424 is about 58463.2142804345. The cubic root of 3417947424 is about 1506.3357822302.

The spelling of 3417947424 in words is "three billion, four hundred seventeen million, nine hundred forty-seven thousand, four hundred twenty-four".