349623864100 has 81 divisors (see below), whose sum is σ = 882655018833. Its totient is φ = 119856848160.

The previous prime is 349623864097. The next prime is 349623864113. The reversal of 349623864100 is 1468326943.

The square root of 349623864100 is 591290.

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., 125864591076 + 223759273024 = 354774^2 + 473032^2 .

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, 41386077 + ... + 41394523.

Almost surely, 2^349623864100 is an apocalyptic number.

349623864100 is the 591290-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349623864100

349623864100 is an abundant number, since it is smaller than the sum of its proper divisors (533031154733).

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

349623864100 is an frugal number, since it uses more digits than its factorization.

349623864100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16922 (or 8461 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 349623864100 in words is "three hundred forty-nine billion, six hundred twenty-three million, eight hundred sixty-four thousand, one hundred".