3004413600 has 144 divisors (see below), whose sum is σ = 9857369088. Its totient is φ = 794787840.

The previous prime is 3004413563. The next prime is 3004413647. The reversal of 3004413600 is 63144003.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299872 + ... + 309728.

It is an arithmetic number, because the mean of its divisors is an integer number (68453952).

Almost surely, 2^3004413600 is an apocalyptic number.

3004413600 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 3004413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4928684544).

3004413600 is an abundant number, since it is smaller than the sum of its proper divisors (6852955488).

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

3004413600 is a wasteful number, since it uses less digits than its factorization.

3004413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10007 (or 9994 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3004413600 is about 54812.5314139021. The cubic root of 3004413600 is about 1442.9565029302.

Adding to 3004413600 its reverse (63144003), we get a palindrome (3067557603).

The spelling of 3004413600 in words is "three billion, four million, four hundred thirteen thousand, six hundred".