349966512200 has 108 divisors (see below), whose sum is σ = 828866001915. Its totient is φ = 137419854720.

The previous prime is 349966512197. The next prime is 349966512209. The reversal of 349966512200 is 2215669943.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 18510690916 + 331455821284 = 136054^2 + 575722^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=418310.

It is a super-2 number, since 2×349966512200² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (349966512209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 493605446 + ... + 493606154.

Almost surely, 2^349966512200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349966512200

349966512200 is an abundant number, since it is smaller than the sum of its proper divisors (478899489715).

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

349966512200 is an frugal number, since it uses more digits than its factorization.

349966512200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 349966512200 in words is "three hundred forty-nine billion, nine hundred sixty-six million, five hundred twelve thousand, two hundred".