3005116576 has 192 divisors, whose sum is σ = 7644865536. Its totient is φ = 1128960000.

The previous prime is 3005116531. The next prime is 3005116591. The reversal of 3005116576 is 6756115003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11972451 + ... + 11972701.

It is an arithmetic number, because the mean of its divisors is an integer number (39817008).

Almost surely, 2^3005116576 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 3005116576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3822432768).

3005116576 is an abundant number, since it is smaller than the sum of its proper divisors (4639748960).

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

3005116576 is a wasteful number, since it uses less digits than its factorization.

3005116576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 3005116576 is about 54818.9435870484. The cubic root of 3005116576 is about 1443.0690356706.

The spelling of 3005116576 in words is "three billion, five million, one hundred sixteen thousand, five hundred seventy-six".