3013180128 has 288 divisors, whose sum is σ = 10337483520. Its totient is φ = 851316480.

The previous prime is 3013180111. The next prime is 3013180139. The reversal of 3013180128 is 8210813103.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4360263 + ... + 4360953.

It is an arithmetic number, because the mean of its divisors is an integer number (35894040).

Almost surely, 2^3013180128 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 3013180128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5168741760).

3013180128 is an abundant number, since it is smaller than the sum of its proper divisors (7324303392).

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

3013180128 is a wasteful number, since it uses less digits than its factorization.

3013180128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 3013180128 is about 54892.4414468877. The cubic root of 3013180128 is about 1444.3585996127.

The spelling of 3013180128 in words is "three billion, thirteen million, one hundred eighty thousand, one hundred twenty-eight".