3005638168 has 64 divisors (see below), whose sum is σ = 6385468320. Its totient is φ = 1316736000.

The previous prime is 3005638147. The next prime is 3005638171. The reversal of 3005638168 is 8618365003.

It is a self number, because there is not a number n which added to its sum of digits gives 3005638168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148243 + ... + 167293.

Almost surely, 2^3005638168 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 3005638168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3192734160).

3005638168 is an abundant number, since it is smaller than the sum of its proper divisors (3379830152).

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

3005638168 is a wasteful number, since it uses less digits than its factorization.

3005638168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19148 (or 19144 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 3005638168 is about 54823.7007871596. The cubic root of 3005638168 is about 1443.1525210309.

The spelling of 3005638168 in words is "three billion, five million, six hundred thirty-eight thousand, one hundred sixty-eight".