3024880128 has 120 divisors (see below), whose sum is σ = 8798405616. Its totient is φ = 1000396800.

The previous prime is 3024880127. The next prime is 3024880153. The reversal of 3024880128 is 8210884203.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 = 3024880092 and 3024880101.

It is not an unprimeable number, because it can be changed into a prime (3024880127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 601143 + ... + 606153.

Almost surely, 2^3024880128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3024880128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399202808).

3024880128 is an abundant number, since it is smaller than the sum of its proper divisors (5773525488).

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

3024880128 is a wasteful number, since it uses less digits than its factorization.

3024880128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5147 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 3024880128 is about 54998.9102437494. The cubic root of 3024880128 is about 1446.2256381302.

The spelling of 3024880128 in words is "three billion, twenty-four million, eight hundred eighty thousand, one hundred twenty-eight".