3005160576 has 128 divisors (see below), whose sum is σ = 8739800640. Its totient is φ = 907345920.

The previous prime is 3005160563. The next prime is 3005160577. The reversal of 3005160576 is 6750615003.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3005160577) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320976 + ... + 1323248.

Almost surely, 2^3005160576 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 3005160576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369900320).

3005160576 is an abundant number, since it is smaller than the sum of its proper divisors (5734640064).

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

3005160576 is a wasteful number, since it uses less digits than its factorization.

3005160576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2602 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 3005160576 is about 54819.3449067024. The cubic root of 3005160576 is about 1443.0760786284.

Adding to 3005160576 its reverse (6750615003), we get a palindrome (9755775579).

The spelling of 3005160576 in words is "three billion, five million, one hundred sixty thousand, five hundred seventy-six".