3142800960 has 224 divisors, whose sum is σ = 11214201600. Its totient is φ = 739909632.

The previous prime is 3142800929. The next prime is 3142800971. The reversal of 3142800960 is 690082413.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281566 + ... + 292514.

It is an arithmetic number, because the mean of its divisors is an integer number (50063400).

Almost surely, 2^3142800960 is an apocalyptic number.

3142800960 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 3142800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607100800).

3142800960 is an abundant number, since it is smaller than the sum of its proper divisors (8071400640).

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

3142800960 is a wasteful number, since it uses less digits than its factorization.

3142800960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11005 (or 10995 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3142800960 is about 56060.6899707808. The cubic root of 3142800960 is about 1464.7796319243.

The spelling of 3142800960 in words is "three billion, one hundred forty-two million, eight hundred thousand, nine hundred sixty".