3013312128 has 128 divisors (see below), whose sum is σ = 8225280000. Its totient is φ = 976960512.

The previous prime is 3013312121. The next prime is 3013312129. The reversal of 3013312128 is 8212133103.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 3013312098 and 3013312107.

It is not an unprimeable number, because it can be changed into a prime (3013312121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3591133 + ... + 3591971.

It is an arithmetic number, because the mean of its divisors is an integer number (64260000).

Almost surely, 2^3013312128 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 3013312128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640000).

3013312128 is an abundant number, since it is smaller than the sum of its proper divisors (5211967872).

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

3013312128 is a wasteful number, since it uses less digits than its factorization.

3013312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3013312128 is about 54893.6437850504. The cubic root of 3013312128 is about 1444.3796905690.

The spelling of 3013312128 in words is "three billion, thirteen million, three hundred twelve thousand, one hundred twenty-eight".