34545313233200 has 240 divisors, whose sum is σ = 103493056091904. Its totient is φ = 10765432089600.

The previous prime is 34545313233181. The next prime is 34545313233203. The reversal of 34545313233200 is 233231354543.

It is not an unprimeable number, because it can be changed into a prime (34545313233203) 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, 175985507 + ... + 176181693.

Almost surely, 2^{34545313233200} 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 34545313233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51746528045952).

34545313233200 is an abundant number, since it is smaller than the sum of its proper divisors (68947742858704).

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

34545313233200 is a wasteful number, since it uses less digits than its factorization.

34545313233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201940 (or 201929 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 38.

Adding to 34545313233200 its reverse (233231354543), we get a palindrome (34778544587743).

The spelling of 34545313233200 in words is "thirty-four trillion, five hundred forty-five billion, three hundred thirteen million, two hundred thirty-three thousand, two hundred".