3344000000000 has 560 divisors, whose sum is σ = 9599413079520. Its totient is φ = 1152000000000.

The previous prime is 3343999999939. The next prime is 3344000000017. The reversal of 3344000000000 is 4433.

It is a super-2 number, since 2×3344000000000² (a number of 26 digits) contains 22 as substring.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 175999999991 + ... + 176000000009.

Almost surely, 2^{3344000000000} 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 3344000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799706539760).

3344000000000 is an abundant number, since it is smaller than the sum of its proper divisors (6255413079520).

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

3344000000000 is an frugal number, since it uses more digits than its factorization.

3344000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

Adding to 3344000000000 its reverse (4433), we get a palindrome (3344000004433).

The spelling of 3344000000000 in words is "three trillion, three hundred forty-four billion", and thus it is an aban number.