3142880496000 has 1536 divisors, whose sum is σ = 13310438918400. Its totient is φ = 695844864000.

The previous prime is 3142880495957. The next prime is 3142880496011. The reversal of 3142880496000 is 6940882413.

It is a happy number.

3142880496000 is a `hidden beast` number, since 3 + 14 + 28 + 8 + 0 + 4 + 9 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4754735670 + ... + 4754736330.

Almost surely, 2^{3142880496000} is an apocalyptic number.

3142880496000 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 3142880496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6655219459200).

3142880496000 is an abundant number, since it is smaller than the sum of its proper divisors (10167558422400).

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

3142880496000 is a wasteful number, since it uses less digits than its factorization.

3142880496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 3142880496000 in words is "three trillion, one hundred forty-two billion, eight hundred eighty million, four hundred ninety-six thousand".