34032114542200 has 192 divisors, whose sum is σ = 81230333738400. Its totient is φ = 13252055654400.

The previous prime is 34032114542131. The next prime is 34032114542227. The reversal of 34032114542200 is 224541123043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12544088044 + ... + 12544090756.

Almost surely, 2^{34032114542200} 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 34032114542200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40615166869200).

34032114542200 is an abundant number, since it is smaller than the sum of its proper divisors (47198219196200).

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

34032114542200 is a wasteful number, since it uses less digits than its factorization.

34032114542200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5522 (or 5513 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 34032114542200 its reverse (224541123043), we get a palindrome (34256655665243).

The spelling of 34032114542200 in words is "thirty-four trillion, thirty-two billion, one hundred fourteen million, five hundred forty-two thousand, two hundred".