3013889674752 has 480 divisors, whose sum is σ = 9806286821760. Its totient is φ = 883074908160.

The previous prime is 3013889674717. The next prime is 3013889674781. The reversal of 3013889674752 is 2574769883103.

3013889674752 is a `hidden beast` number, since 30 + 1 + 388 + 96 + 74 + 75 + 2 = 666.

3013889674752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3013889674752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305694399 + ... + 305704257.

It is an arithmetic number, because the mean of its divisors is an integer number (20429764212).

It is a 1-persistent number, because it is pandigital, but 2⋅3013889674752 = 6027779349504 is not.

Almost surely, 2^{3013889674752} is an apocalyptic number.

3013889674752 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 3013889674752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903143410880).

3013889674752 is an abundant number, since it is smaller than the sum of its proper divisors (6792397147008).

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

3013889674752 is a wasteful number, since it uses less digits than its factorization.

3013889674752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10094 (or 10075 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3013889674752 in words is "three trillion, thirteen billion, eight hundred eighty-nine million, six hundred seventy-four thousand, seven hundred fifty-two".