3143691643680 has 768 divisors, whose sum is σ = 12856040064000. Its totient is φ = 717178613760.

The previous prime is 3143691643679. The next prime is 3143691643711. The reversal of 3143691643680 is 863461963413.

3143691643680 is a `hidden beast` number, since 3 + 1 + 43 + 6 + 91 + 6 + 436 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 908317150 + ... + 908320610.

It is an arithmetic number, because the mean of its divisors is an integer number (16739635500).

Almost surely, 2^{3143691643680} is an apocalyptic number.

3143691643680 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 3143691643680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428020032000).

3143691643680 is an abundant number, since it is smaller than the sum of its proper divisors (9712348420320).

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

3143691643680 is a wasteful number, since it uses less digits than its factorization.

3143691643680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4119 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3143691643680 in words is "three trillion, one hundred forty-three billion, six hundred ninety-one million, six hundred forty-three thousand, six hundred eighty".