3004145152 has 80 divisors (see below), whose sum is σ = 6165007200. Its totient is φ = 1461870592.

The previous prime is 3004145149. The next prime is 3004145159. The reversal of 3004145152 is 2515414003.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3004145159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4042893 + ... + 4043635.

It is an arithmetic number, because the mean of its divisors is an integer number (77062590).

Almost surely, 2^3004145152 is an apocalyptic number.

3004145152 is a gapful number since it is divisible by the number (32) 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 3004145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082503600).

3004145152 is an abundant number, since it is smaller than the sum of its proper divisors (3160862048).

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

3004145152 is an equidigital number, since it uses as much as digits as its factorization.

3004145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 3004145152 is about 54810.0825761100. The cubic root of 3004145152 is about 1442.9135250121.

Adding to 3004145152 its reverse (2515414003), we get a palindrome (5519559155).

The spelling of 3004145152 in words is "three billion, four million, one hundred forty-five thousand, one hundred fifty-two".