3004948800 has 672 divisors, whose sum is σ = 13203123200. Its totient is φ = 649451520.

The previous prime is 3004948789. The next prime is 3004948811. The reversal of 3004948800 is 88494003.

It is an interprime number because it is at equal distance from previous prime (3004948789) and next prime (3004948811).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5745339 + ... + 5745861.

Almost surely, 2^3004948800 is an apocalyptic number.

3004948800 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 3004948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6601561600).

3004948800 is an abundant number, since it is smaller than the sum of its proper divisors (10198174400).

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

3004948800 is a wasteful number, since it uses less digits than its factorization.

3004948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3004948800 is about 54817.4132917634. The cubic root of 3004948800 is about 1443.0421796013.

The spelling of 3004948800 in words is "three billion, four million, nine hundred forty-eight thousand, eight hundred".