3004646400 has 924 divisors, whose sum is σ = 13316832192. Its totient is φ = 656916480.

The previous prime is 3004646389. The next prime is 3004646401. The reversal of 3004646400 is 46464003.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004646401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130636789 + ... + 130636811.

Almost surely, 2^3004646400 is an apocalyptic number.

3004646400 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 3004646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6658416096).

3004646400 is an abundant number, since it is smaller than the sum of its proper divisors (10312185792).

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

3004646400 is an equidigital number, since it uses as much as digits as its factorization.

3004646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3004646400 is about 54814.6549747419. The cubic root of 3004646400 is about 1442.9937716114.

The spelling of 3004646400 in words is "three billion, four million, six hundred forty-six thousand, four hundred".