3000505200 has 360 divisors, whose sum is σ = 12199933440. Its totient is φ = 623347200.

The previous prime is 3000505177. The next prime is 3000505217. The reversal of 3000505200 is 25050003.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3000505200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 644481 + ... + 649119.

It is an arithmetic number, because the mean of its divisors is an integer number (33888704).

Almost surely, 2^3000505200 is an apocalyptic number.

3000505200 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 3000505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6099966720).

3000505200 is an abundant number, since it is smaller than the sum of its proper divisors (9199428240).

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

3000505200 is a wasteful number, since it uses less digits than its factorization.

3000505200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4685 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 15.

The square root of 3000505200 is about 54776.8673803094. The cubic root of 3000505200 is about 1442.3305240393.

Adding to 3000505200 its reverse (25050003), we get a palindrome (3025555203).

The spelling of 3000505200 in words is "three billion, five hundred five thousand, two hundred".