34050866137344 has 675 divisors, whose sum is σ = 118592127397667. Its totient is φ = 9717054907392.

The previous prime is 34050866137303. The next prime is 34050866137373. The reversal of 34050866137344 is 44373166805043.

The square root of 34050866137344 is 5835312.

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

34050866137344 is a `hidden beast` number, since 3 + 4 + 0 + 508 + 6 + 61 + 3 + 73 + 4 + 4 = 666.

It is a super-2 number, since 2×34050866137344² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 41173961059 + ... + 41173961885.

Almost surely, 2^{34050866137344} is an apocalyptic number.

34050866137344 is the 5835312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34050866137344

34050866137344 is an abundant number, since it is smaller than the sum of its proper divisors (84541261260323).

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

34050866137344 is an frugal number, since it uses more digits than its factorization.

34050866137344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 34050866137344 in words is "thirty-four trillion, fifty billion, eight hundred sixty-six million, one hundred thirty-seven thousand, three hundred forty-four".