3002112960 has 448 divisors, whose sum is σ = 12587996160. Its totient is φ = 586874880.

The previous prime is 3002112937. The next prime is 3002113001. The reversal of 3002112960 is 692112003.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3002112960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1255446 + ... + 1257834.

Almost surely, 2^3002112960 is an apocalyptic number.

3002112960 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 3002112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6293998080).

3002112960 is an abundant number, since it is smaller than the sum of its proper divisors (9585883200).

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

3002112960 is a wasteful number, since it uses less digits than its factorization.

3002112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2444 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 3002112960 is about 54791.5409529610. The cubic root of 3002112960 is about 1442.5880925830.

Adding to 3002112960 its reverse (692112003), we get a palindrome (3694224963).

The spelling of 3002112960 in words is "three billion, two million, one hundred twelve thousand, nine hundred sixty".