3005712960 has 112 divisors (see below), whose sum is σ = 9555089856. Its totient is φ = 800520192.

The previous prime is 3005712949. The next prime is 3005712967. The reversal of 3005712960 is 692175003.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3005712967) 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 15 ways as a sum of consecutive naturals, for example, 1070919 + ... + 1073721.

Almost surely, 2^3005712960 is an apocalyptic number.

3005712960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3005712960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4777544928).

3005712960 is an abundant number, since it is smaller than the sum of its proper divisors (6549376896).

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

3005712960 is a wasteful number, since it uses less digits than its factorization.

3005712960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3930 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 3005712960 is about 54824.3828966638. The cubic root of 3005712960 is about 1443.1644913527.

Adding to 3005712960 its reverse (692175003), we get a palindrome (3697887963).

The spelling of 3005712960 in words is "three billion, five million, seven hundred twelve thousand, nine hundred sixty".