3148880367360 has 1728 divisors, whose sum is σ = 13013298611712. Its totient is φ = 642906980352.

The previous prime is 3148880367337. The next prime is 3148880367361. The reversal of 3148880367360 is 637630888413.

3148880367360 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 3148880367360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3148880367361) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13871719567 + ... + 13871719793.

It is an arithmetic number, because the mean of its divisors is an integer number (7530844104).

Almost surely, 2^{3148880367360} is an apocalyptic number.

3148880367360 is a gapful number since it is divisible by the number (30) 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 3148880367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506649305856).

3148880367360 is an abundant number, since it is smaller than the sum of its proper divisors (9864418244352).

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

3148880367360 is a wasteful number, since it uses less digits than its factorization.

3148880367360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 3148880367360 in words is "three trillion, one hundred forty-eight billion, eight hundred eighty million, three hundred sixty-seven thousand, three hundred sixty".