3144232896000 has 640 divisors, whose sum is σ = 12359311810560. Its totient is φ = 693891072000.

The previous prime is 3144232895989. The next prime is 3144232896017. The reversal of 3144232896000 is 6982324413.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 38935665 + ... + 39016335.

It is an arithmetic number, because the mean of its divisors is an integer number (19311424704).

Almost surely, 2^{3144232896000} is an apocalyptic number.

3144232896000 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 3144232896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6179655905280).

3144232896000 is an abundant number, since it is smaller than the sum of its proper divisors (9215078914560).

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

3144232896000 is an equidigital number, since it uses as much as digits as its factorization.

3144232896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80743 (or 80717 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 3144232896000 in words is "three trillion, one hundred forty-four billion, two hundred thirty-two million, eight hundred ninety-six thousand".