349690400 has 36 divisors (see below), whose sum is σ = 853683642. Its totient is φ = 139875840.

The previous prime is 349690399. The next prime is 349690417. The reversal of 349690400 is 4096943.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 126247696 + 223442704 = 11236^2 + 14948^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 217757 + ... + 219356.

Almost surely, 2^349690400 is an apocalyptic number.

It is an amenable number.

349690400 is an abundant number, since it is smaller than the sum of its proper divisors (503993242).

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

349690400 is a wasteful number, since it uses less digits than its factorization.

349690400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437133 (or 437120 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 349690400 is about 18700.0106951841. The cubic root of 349690400 is about 704.5220172697.

The spelling of 349690400 in words is "three hundred forty-nine million, six hundred ninety thousand, four hundred".