3442313000000 has 392 divisors, whose sum is σ = 10332587741184. Its totient is φ = 1110758400000.

The previous prime is 3442312999997. The next prime is 3442313000111. The reversal of 3442313000000 is 3132443.

3442313000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 118985537 + ... + 119014463.

Almost surely, 2^{3442313000000} 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 3442313000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5166293870592).

3442313000000 is an abundant number, since it is smaller than the sum of its proper divisors (6890274741184).

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

3442313000000 is an frugal number, since it uses more digits than its factorization.

3442313000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28993 (or 28958 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 3442313000000 its reverse (3132443), we get a palindrome (3442316132443).

The spelling of 3442313000000 in words is "three trillion, four hundred forty-two billion, three hundred thirteen million", and thus it is an aban number.