3193937809920 has 640 divisors, whose sum is σ = 13328589415680. Its totient is φ = 714725130240.

The previous prime is 3193937809871. The next prime is 3193937809957. The reversal of 3193937809920 is 299087393913.

It is a happy number.

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

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, 9722592 + ... + 10045728.

It is an arithmetic number, because the mean of its divisors is an integer number (20825920962).

Almost surely, 2^{3193937809920} is an apocalyptic number.

3193937809920 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 3193937809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664294707840).

3193937809920 is an abundant number, since it is smaller than the sum of its proper divisors (10134651605760).

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

3193937809920 is a wasteful number, since it uses less digits than its factorization.

3193937809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323193 (or 323171 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 63.

The spelling of 3193937809920 in words is "three trillion, one hundred ninety-three billion, nine hundred thirty-seven million, eight hundred nine thousand, nine hundred twenty".