3000504007600 has 240 divisors, whose sum is σ = 8043675171840. Its totient is φ = 1066241433600.

The previous prime is 3000504007591. The next prime is 3000504007681. The reversal of 3000504007600 is 67004050003.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139165621 + ... + 139187179.

It is an arithmetic number, because the mean of its divisors is an integer number (33515313216).

Almost surely, 2^{3000504007600} 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 3000504007600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021837585920).

3000504007600 is an abundant number, since it is smaller than the sum of its proper divisors (5043171164240).

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

3000504007600 is a wasteful number, since it uses less digits than its factorization.

3000504007600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22308 (or 22297 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

Adding to 3000504007600 its reverse (67004050003), we get a palindrome (3067508057603).

The spelling of 3000504007600 in words is "three trillion, five hundred four million, seven thousand, six hundred".