34204530400000 has 216 divisors, whose sum is σ = 90358817915520. Its totient is φ = 12876994560000.

The previous prime is 34204530399971. The next prime is 34204530400003. The reversal of 34204530400000 is 403540243.

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

It is not an unprimeable number, because it can be changed into a prime (34204530400003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12342481 + ... + 14857519.

It is an arithmetic number, because the mean of its divisors is an integer number (418327860720).

Almost surely, 2^{34204530400000} 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 34204530400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45179408957760).

34204530400000 is an abundant number, since it is smaller than the sum of its proper divisors (56154287515520).

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

34204530400000 is an frugal number, since it uses more digits than its factorization.

34204530400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515097 (or 2515063 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 34204530400000 its reverse (403540243), we get a palindrome (34204933940243).

The spelling of 34204530400000 in words is "thirty-four trillion, two hundred four billion, five hundred thirty million, four hundred thousand".