3013276428864 has 672 divisors, whose sum is σ = 9964478684160. Its totient is φ = 862941081600.

The previous prime is 3013276428839. The next prime is 3013276428887. The reversal of 3013276428864 is 4688246723103.

3013276428864 is a `hidden beast` number, since 3 + 0 + 132 + 7 + 6 + 428 + 86 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3013276428864.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1994225869 + ... + 1994227379.

It is an arithmetic number, because the mean of its divisors is an integer number (14828093280).

Almost surely, 2^{3013276428864} 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 3013276428864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4982239342080).

3013276428864 is an abundant number, since it is smaller than the sum of its proper divisors (6951202255296).

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

3013276428864 is a wasteful number, since it uses less digits than its factorization.

3013276428864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 3013276428864 in words is "three trillion, thirteen billion, two hundred seventy-six million, four hundred twenty-eight thousand, eight hundred sixty-four".