3843031970720 has 144 divisors (see below), whose sum is σ = 9647843952600. Its totient is φ = 1446309003264.

The previous prime is 3843031970677. The next prime is 3843031970741. The reversal of 3843031970720 is 270791303483.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 636912532624 + 3206119438096 = 798068^2 + 1790564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159469712 + ... + 159493808.

Almost surely, 2^{3843031970720} 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 3843031970720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823921976300).

3843031970720 is an abundant number, since it is smaller than the sum of its proper divisors (5804811981880).

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

3843031970720 is a wasteful number, since it uses less digits than its factorization.

3843031970720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27595 (or 27570 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 47.

The spelling of 3843031970720 in words is "three trillion, eight hundred forty-three billion, thirty-one million, nine hundred seventy thousand, seven hundred twenty".