34324434245200 has 480 divisors, whose sum is σ = 96946295040000. Its totient is φ = 11544921907200.

The previous prime is 34324434245161. The next prime is 34324434245209. The reversal of 34324434245200 is 254243442343.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34324434245209) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1646324376 + ... + 1646345224.

It is an arithmetic number, because the mean of its divisors is an integer number (201971448000).

Almost surely, 2^{34324434245200} 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 34324434245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48473147520000).

34324434245200 is an abundant number, since it is smaller than the sum of its proper divisors (62621860794800).

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

34324434245200 is a wasteful number, since it uses less digits than its factorization.

34324434245200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21363 (or 21352 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 40.

Adding to 34324434245200 its reverse (254243442343), we get a palindrome (34578677687543).

The spelling of 34324434245200 in words is "thirty-four trillion, three hundred twenty-four billion, four hundred thirty-four million, two hundred forty-five thousand, two hundred".