34342440000000 has 640 divisors, whose sum is σ = 124764121228032. Its totient is φ = 8325120000000.

The previous prime is 34342439999999. The next prime is 34342440000041. The reversal of 34342440000000 is 4424343.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1319986992 + ... + 1320013008.

Almost surely, 2^{34342440000000} is an apocalyptic number.

34342440000000 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 34342440000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62382060614016).

34342440000000 is an abundant number, since it is smaller than the sum of its proper divisors (90421681228032).

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

34342440000000 is an frugal number, since it uses more digits than its factorization.

34342440000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26084 (or 26038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 34342440000000 its reverse (4424343), we get a palindrome (34342444424343).

The spelling of 34342440000000 in words is "thirty-four trillion, three hundred forty-two billion, four hundred forty million", and thus it is an aban number.