349864840 has 32 divisors (see below), whose sum is σ = 847750680. Its totient is φ = 129180672.

The previous prime is 349864789. The next prime is 349864843. The reversal of 349864840 is 48468943.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 189943524 + 159921316 = 13782^2 + 12646^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (349864843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335889 + ... + 336928.

Almost surely, 2^349864840 is an apocalyptic number.

It is an amenable number.

349864840 is an abundant number, since it is smaller than the sum of its proper divisors (497885840).

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

349864840 is a wasteful number, since it uses less digits than its factorization.

349864840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672841 (or 672837 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

The square root of 349864840 is about 18704.6742821146. The cubic root of 349864840 is about 704.6391460128.

The spelling of 349864840 in words is "three hundred forty-nine million, eight hundred sixty-four thousand, eight hundred forty".