3138361159680 has 312 divisors, whose sum is σ = 10895204261760. Its totient is φ = 835597762560.

The previous prime is 3138361159631. The next prime is 3138361159709. The reversal of 3138361159680 is 869511638313.

3138361159680 is a `hidden beast` number, since 3 + 1 + 3 + 8 + 36 + 11 + 596 + 8 + 0 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 121822641 + ... + 121848399.

It is an arithmetic number, because the mean of its divisors is an integer number (34920526480).

Almost surely, 2^{3138361159680} is an apocalyptic number.

3138361159680 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 3138361159680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5447602130880).

3138361159680 is an abundant number, since it is smaller than the sum of its proper divisors (7756843102080).

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

3138361159680 is a wasteful number, since it uses less digits than its factorization.

3138361159680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26455 (or 26430 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 3138361159680 in words is "three trillion, one hundred thirty-eight billion, three hundred sixty-one million, one hundred fifty-nine thousand, six hundred eighty".