350492416576 has 63 divisors (see below), whose sum is σ = 712473144393. Its totient is φ = 171071255040.

The previous prime is 350492416523. The next prime is 350492416657. The reversal of 350492416576 is 675614294053.

The square root of 350492416576 is 592024.

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

It can be written as a sum of positive squares in only one way, i.e., 258853018176 + 91639398400 = 508776^2 + 302720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 203655396 + ... + 203657116.

Almost surely, 2^350492416576 is an apocalyptic number.

350492416576 is the 592024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 350492416576

350492416576 is an abundant number, since it is smaller than the sum of its proper divisors (361980727817).

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

350492416576 is an frugal number, since it uses more digits than its factorization.

350492416576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 1766 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 52.

The spelling of 350492416576 in words is "three hundred fifty billion, four hundred ninety-two million, four hundred sixteen thousand, five hundred seventy-six".