3005875404 has 216 divisors, whose sum is σ = 9290539440. Its totient is φ = 815899392.

The previous prime is 3005875399. The next prime is 3005875423. The reversal of 3005875404 is 4045785003.

3005875404 is a `hidden beast` number, since 30 + 0 + 5 + 87 + 540 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3427014 + ... + 3427890.

Almost surely, 2^3005875404 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 3005875404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645269720).

3005875404 is an abundant number, since it is smaller than the sum of its proper divisors (6284664036).

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

3005875404 is a wasteful number, since it uses less digits than its factorization.

With its successor (3005875405) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (985).

With its successor (3005875405) it forms an eRAP, since the sums of their prime factors are consecutive (997 and 998).

3005875404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 3005875404 is about 54825.8643707511. The cubic root of 3005875404 is about 1443.1904895316.

The spelling of 3005875404 in words is "three billion, five million, eight hundred seventy-five thousand, four hundred four".