34505045434332 has 384 divisors, whose sum is σ = 102745843200000. Its totient is φ = 9916722144000.

The previous prime is 34505045434331. The next prime is 34505045434357. The reversal of 34505045434332 is 23343454050543.

34505045434332 is a `hidden beast` number, since 3 + 4 + 50 + 50 + 4 + 543 + 4 + 3 + 3 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34505045434331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2949395419 + ... + 2949407117.

It is an arithmetic number, because the mean of its divisors is an integer number (267567300000).

Almost surely, 2^{34505045434332} 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 34505045434332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51372921600000).

34505045434332 is an abundant number, since it is smaller than the sum of its proper divisors (68240797765668).

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

34505045434332 is a wasteful number, since it uses less digits than its factorization.

34505045434332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13262 (or 13254 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 45.

Adding to 34505045434332 its reverse (23343454050543), we get a palindrome (57848499484875).

The spelling of 34505045434332 in words is "thirty-four trillion, five hundred five billion, forty-five million, four hundred thirty-four thousand, three hundred thirty-two".