34341042400000 has 1296 divisors, whose sum is σ = 106652606921280. Its totient is φ = 10975641600000.

The previous prime is 34341042399967. The next prime is 34341042400001. The reversal of 34341042400000 is 424014343.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34341042400001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36965599536 + ... + 36965600464.

It is an arithmetic number, because the mean of its divisors is an integer number (82293678180).

Almost surely, 2^{34341042400000} 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 34341042400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53326303460640).

34341042400000 is an abundant number, since it is smaller than the sum of its proper divisors (72311564521280).

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

34341042400000 is an frugal number, since it uses more digits than its factorization.

34341042400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 34341042400000 its reverse (424014343), we get a palindrome (34341466414343).

The spelling of 34341042400000 in words is "thirty-four trillion, three hundred forty-one billion, forty-two million, four hundred thousand".