3442234400000 has 216 divisors, whose sum is σ = 9369000533088. Its totient is φ = 1251718400000.

The previous prime is 3442234399993. The next prime is 3442234400009. The reversal of 3442234400000 is 44322443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442234400009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8604419 + ... + 8995581.

It is an arithmetic number, because the mean of its divisors is an integer number (43375002468).

Almost surely, 2^{3442234400000} 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 3442234400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4684500266544).

3442234400000 is an abundant number, since it is smaller than the sum of its proper divisors (5926766133088).

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

3442234400000 is an frugal number, since it uses more digits than its factorization.

3442234400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391215 (or 391181 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 3442234400000 its reverse (44322443), we get a palindrome (3442278722443).

The spelling of 3442234400000 in words is "three trillion, four hundred forty-two billion, two hundred thirty-four million, four hundred thousand".