34541033174244 has 135 divisors (see below), whose sum is σ = 92272457434003. Its totient is φ = 11267083761552.

The previous prime is 34541033174213. The next prime is 34541033174267. The reversal of 34541033174244 is 44247133014543.

The square root of 34541033174244 is 5877162.

It is a perfect power (a square), and thus also a powerful number.

34541033174244 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 1 + 0 + 331 + 74 + 244 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34541033174244.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4972075579 + ... + 4972082525.

Almost surely, 2^{34541033174244} is an apocalyptic number.

34541033174244 is the 5877162-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34541033174244

34541033174244 is an abundant number, since it is smaller than the sum of its proper divisors (57731424259759).

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

34541033174244 is an frugal number, since it uses more digits than its factorization.

34541033174244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14004 (or 6999 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

Adding to 34541033174244 its reverse (44247133014543), we get a palindrome (78788166188787).

The spelling of 34541033174244 in words is "thirty-four trillion, five hundred forty-one billion, thirty-three million, one hundred seventy-four thousand, two hundred forty-four".