3004040160 has 288 divisors, whose sum is σ = 11370209760. Its totient is φ = 716083200.

The previous prime is 3004040153. The next prime is 3004040209. The reversal of 3004040160 is 610404003.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 964686 + ... + 967794.

It is an arithmetic number, because the mean of its divisors is an integer number (39479895).

Almost surely, 2^3004040160 is an apocalyptic number.

3004040160 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 3004040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685104880).

3004040160 is an abundant number, since it is smaller than the sum of its proper divisors (8366169600).

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

3004040160 is a wasteful number, since it uses less digits than its factorization.

3004040160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3004040160 is about 54809.1247877577. The cubic root of 3004040160 is about 1442.8967153337.

Adding to 3004040160 its reverse (610404003), we get a palindrome (3614444163).

The spelling of 3004040160 in words is "three billion, four million, forty thousand, one hundred sixty".