349961364 has 48 divisors (see below), whose sum is σ = 916319040. Its totient is φ = 115495200.

The previous prime is 349961351. The next prime is 349961383. The reversal of 349961364 is 463169943.

349961364 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5134 + ... + 26949.

It is an arithmetic number, because the mean of its divisors is an integer number (19089980).

Almost surely, 2^349961364 is an apocalyptic number.

It is an amenable number.

349961364 is an abundant number, since it is smaller than the sum of its proper divisors (566357676).

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

349961364 is a wasteful number, since it uses less digits than its factorization.

349961364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32197 (or 32189 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The square root of 349961364 is about 18707.2543148373. The cubic root of 349961364 is about 704.7039408776.

The spelling of 349961364 in words is "three hundred forty-nine million, nine hundred sixty-one thousand, three hundred sixty-four".