3005878413 has 24 divisors (see below), whose sum is σ = 4235232576. Its totient is φ = 1896048000.

The previous prime is 3005878397. The next prime is 3005878417. The reversal of 3005878413 is 3148785003.

It is not a de Polignac number, because 3005878413 - 2⁴ = 3005878397 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005878417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1299528 + ... + 1301838.

It is an arithmetic number, because the mean of its divisors is an integer number (176468024).

Almost surely, 2^3005878413 is an apocalyptic number.

It is an amenable number.

3005878413 is a deficient number, since it is larger than the sum of its proper divisors (1229354163).

3005878413 is a wasteful number, since it uses less digits than its factorization.

3005878413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3553 (or 3534 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 3005878413 is about 54825.8918121721. The cubic root of 3005878413 is about 1443.1909710950.

The spelling of 3005878413 in words is "three billion, five million, eight hundred seventy-eight thousand, four hundred thirteen".