3004485840 has 240 divisors, whose sum is σ = 10722862800. Its totient is φ = 752467968.

The previous prime is 3004485833. The next prime is 3004485853. The reversal of 3004485840 is 485844003.

3004485840 is a `hidden beast` number, since 30 + 0 + 4 + 48 + 584 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 238146624 + 2766339216 = 15432^2 + 52596^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 3004485795 and 3004485804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 770616 + ... + 774504.

It is an arithmetic number, because the mean of its divisors is an integer number (44678595).

Almost surely, 2^3004485840 is an apocalyptic number.

3004485840 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 3004485840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5361431400).

3004485840 is an abundant number, since it is smaller than the sum of its proper divisors (7718376960).

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

3004485840 is a wasteful number, since it uses less digits than its factorization.

3004485840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 3004485840 is about 54813.1903833375. The cubic root of 3004485840 is about 1442.9680679538.

The spelling of 3004485840 in words is "three billion, four million, four hundred eighty-five thousand, eight hundred forty".