3004404480 has 576 divisors, whose sum is σ = 13303987200. Its totient is φ = 623738880.

The previous prime is 3004404467. The next prime is 3004404493. The reversal of 3004404480 is 844044003.

It is an interprime number because it is at equal distance from previous prime (3004404467) and next prime (3004404493).

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2660556 + ... + 2661684.

It is an arithmetic number, because the mean of its divisors is an integer number (23097200).

Almost surely, 2^3004404480 is an apocalyptic number.

3004404480 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 3004404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651993600).

3004404480 is an abundant number, since it is smaller than the sum of its proper divisors (10299582720).

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

3004404480 is a wasteful number, since it uses less digits than its factorization.

3004404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1157 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 3004404480 is about 54812.4482211842. The cubic root of 3004404480 is about 1442.9550428808.

Adding to 3004404480 its reverse (844044003), we get a palindrome (3848448483).

The spelling of 3004404480 in words is "three billion, four million, four hundred four thousand, four hundred eighty".