349661600 has 36 divisors (see below), whose sum is σ = 853613334. Its totient is φ = 139864320.

The previous prime is 349661573. The next prime is 349661621. The reversal of 349661600 is 6166943.

It can be written as a sum of positive squares in 3 ways, for example, as 312158224 + 37503376 = 17668^2 + 6124^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

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, 217739 + ... + 219338.

Almost surely, 2^349661600 is an apocalyptic number.

It is an amenable number.

349661600 is an abundant number, since it is smaller than the sum of its proper divisors (503951734).

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

349661600 is a wasteful number, since it uses less digits than its factorization.

349661600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437097 (or 437084 counting only the distinct ones).

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

The square root of 349661600 is about 18699.2406262928. The cubic root of 349661600 is about 704.5026755976.

The spelling of 349661600 in words is "three hundred forty-nine million, six hundred sixty-one thousand, six hundred".