3004131300 has 72 divisors (see below), whose sum is σ = 8758418592. Its totient is φ = 794976000.

The previous prime is 3004131281. The next prime is 3004131301. The reversal of 3004131300 is 31314003.

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 3004131300.

It is not an unprimeable number, because it can be changed into a prime (3004131301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080 + ... + 77520.

Almost surely, 2^3004131300 is an apocalyptic number.

3004131300 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 3004131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379209296).

3004131300 is an abundant number, since it is smaller than the sum of its proper divisors (5754287292).

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

3004131300 is a wasteful number, since it uses less digits than its factorization.

3004131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76589 (or 76582 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3004131300 is about 54809.9562123525. The cubic root of 3004131300 is about 1442.9113072687.

Adding to 3004131300 its reverse (31314003), we get a palindrome (3035445303).

The spelling of 3004131300 in words is "three billion, four million, one hundred thirty-one thousand, three hundred".