3143468839680 has 864 divisors, whose sum is σ = 12174795097920. Its totient is φ = 771976396800.

The previous prime is 3143468839663. The next prime is 3143468839697. The reversal of 3143468839680 is 869388643413.

3143468839680 is a `hidden beast` number, since 3 + 1 + 4 + 3 + 468 + 8 + 3 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3143468839663) and next prime (3143468839697).

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2834506966 + ... + 2834508074.

It is an arithmetic number, because the mean of its divisors is an integer number (14091198030).

Almost surely, 2^{3143468839680} is an apocalyptic number.

3143468839680 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 3143468839680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6087397548960).

3143468839680 is an abundant number, since it is smaller than the sum of its proper divisors (9031326258240).

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

3143468839680 is a wasteful number, since it uses less digits than its factorization.

3143468839680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 3143468839680 in words is "three trillion, one hundred forty-three billion, four hundred sixty-eight million, eight hundred thirty-nine thousand, six hundred eighty".