3145020920080 has 320 divisors, whose sum is σ = 8086611298752. Its totient is φ = 1130374103040.

The previous prime is 3145020920077. The next prime is 3145020920099. The reversal of 3145020920080 is 800290205413.

It can be written as a sum of positive squares in 32 ways, for example, as 2871479367936 + 273541552144 = 1694544^2 + 523012^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7263327544 + ... + 7263327976.

Almost surely, 2^{3145020920080} 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 3145020920080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4043305649376).

3145020920080 is an abundant number, since it is smaller than the sum of its proper divisors (4941590378672).

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

3145020920080 is a wasteful number, since it uses less digits than its factorization.

3145020920080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 3145020920080 in words is "three trillion, one hundred forty-five billion, twenty million, nine hundred twenty thousand, eighty".