3142762872704 has 320 divisors, whose sum is σ = 7820775874560. Its totient is φ = 1232225519616.

The previous prime is 3142762872703. The next prime is 3142762872719. The reversal of 3142762872704 is 4072782672413.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3142762872703) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3250012829 + ... + 3250013795.

It is an arithmetic number, because the mean of its divisors is an integer number (24439924608).

Almost surely, 2^{3142762872704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3142762872704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3910387937280).

3142762872704 is an abundant number, since it is smaller than the sum of its proper divisors (4678013001856).

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

3142762872704 is an frugal number, since it uses more digits than its factorization.

3142762872704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 53.

The spelling of 3142762872704 in words is "three trillion, one hundred forty-two billion, seven hundred sixty-two million, eight hundred seventy-two thousand, seven hundred four".