3143730216960 has 1800 divisors, whose sum is σ = 12756052857240. Its totient is φ = 737232814080.

The previous prime is 3143730216959. The next prime is 3143730216961. The reversal of 3143730216960 is 696120373413.

3143730216960 is a `hidden beast` number, since 3 + 1 + 4 + 373 + 0 + 216 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (3143730216959) and next prime (3143730216961).

It can be written as a sum of positive squares in 4 ways, for example, as 674658533376 + 2469071683584 = 821376^2 + 1571328^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3143730216961) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 101410652145 + ... + 101410652175.

Almost surely, 2^{3143730216960} is an apocalyptic number.

3143730216960 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 3143730216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378026428620).

3143730216960 is an abundant number, since it is smaller than the sum of its proper divisors (9612322640280).

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

3143730216960 is an equidigital number, since it uses as much as digits as its factorization.

3143730216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3143730216960 in words is "three trillion, one hundred forty-three billion, seven hundred thirty million, two hundred sixteen thousand, nine hundred sixty".