34243300224 has 384 divisors, whose sum is σ = 117287352000. Its totient is φ = 9382625280.

The previous prime is 34243300207. The next prime is 34243300229. The reversal of 34243300224 is 42200334243.

34243300224 is a `hidden beast` number, since 3 + 4 + 2 + 433 + 0 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×34243300224² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34243300229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42327532 + ... + 42328340.

Almost surely, 2^34243300224 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 34243300224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58643676000).

34243300224 is an abundant number, since it is smaller than the sum of its proper divisors (83044051776).

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

34243300224 is a wasteful number, since it uses less digits than its factorization.

34243300224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

Adding to 34243300224 its reverse (42200334243), we get a palindrome (76443634467).

The spelling of 34243300224 in words is "thirty-four billion, two hundred forty-three million, three hundred thousand, two hundred twenty-four".