3004675200 has 648 divisors, whose sum is σ = 12020113755. Its totient is φ = 714424320.

The previous prime is 3004675187. The next prime is 3004675213. The reversal of 3004675200 is 25764003.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (3004675187) and next prime (3004675213).

It can be written as a sum of positive squares in 5 ways, for example, as 1956469824 + 1048205376 = 44232^2 + 32376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=38760.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 158140791 + ... + 158140809.

Almost surely, 2^3004675200 is an apocalyptic number.

3004675200 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 3004675200

3004675200 is an abundant number, since it is smaller than the sum of its proper divisors (9015438555).

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

3004675200 is a wasteful number, since it uses less digits than its factorization.

3004675200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3004675200 is about 54814.9176775812. The cubic root of 3004675200 is about 1442.9983820361.

The spelling of 3004675200 in words is "three billion, four million, six hundred seventy-five thousand, two hundred".