3002485760 has 88 divisors (see below), whose sum is σ = 7378632576. Its totient is φ = 1171619840.

The previous prime is 3002485747. The next prime is 3002485781. The reversal of 3002485760 is 675842003.

It is a happy number.

It is a super-3 number, since 3×3002485760³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3002485760.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 202769 + ... + 217071.

Almost surely, 2^3002485760 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 3002485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3689316288).

3002485760 is an abundant number, since it is smaller than the sum of its proper divisors (4376146816).

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

3002485760 is a wasteful number, since it uses less digits than its factorization.

3002485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14369 (or 14351 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 3002485760 is about 54794.9428323454. The cubic root of 3002485760 is about 1442.6478032588.

The spelling of 3002485760 in words is "three billion, two million, four hundred eighty-five thousand, seven hundred sixty".