3143349780480 has 2880 divisors, whose sum is σ = 14760060295680. Its totient is φ = 627836977152.

The previous prime is 3143349780469. The next prime is 3143349780481. The reversal of 3143349780480 is 840879433413.

3143349780480 is a `hidden beast` number, since 3 + 1 + 4 + 33 + 497 + 80 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143349780481) 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, 32405667792 + ... + 32405667888.

It is an arithmetic number, because the mean of its divisors is an integer number (5125020936).

Almost surely, 2^{3143349780480} is an apocalyptic number.

3143349780480 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 3143349780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7380030147840).

3143349780480 is an abundant number, since it is smaller than the sum of its proper divisors (11616710515200).

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

3143349780480 is a wasteful number, since it uses less digits than its factorization.

3143349780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 3143349780480 in words is "three trillion, one hundred forty-three billion, three hundred forty-nine million, seven hundred eighty thousand, four hundred eighty".