350686627344 has 135 divisors (see below), whose sum is σ = 999023238759. Its totient is φ = 114837096960.

The previous prime is 350686627339. The next prime is 350686627351. The reversal of 350686627344 is 443726686053.

The square root of 350686627344 is 592188.

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

350686627344 is a `hidden beast` number, since 3 + 5 + 0 + 6 + 8 + 6 + 627 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10284393744 + 340402233600 = 101412^2 + 583440^2 .

It is a super-2 number, since 2×350686627344² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 433481212 + ... + 433482020.

Almost surely, 2^350686627344 is an apocalyptic number.

350686627344 is the 592188-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350686627344

350686627344 is an abundant number, since it is smaller than the sum of its proper divisors (648336611415).

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

350686627344 is an frugal number, since it uses more digits than its factorization.

350686627344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 875 counting only the distinct ones).

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

The spelling of 350686627344 in words is "three hundred fifty billion, six hundred eighty-six million, six hundred twenty-seven thousand, three hundred forty-four".