349416384 has 56 divisors (see below), whose sum is σ = 973165440. Its totient is φ = 110340864.

The previous prime is 349416383. The next prime is 349416427. The reversal of 349416384 is 483614943.

It is a super-3 number, since 3×349416384³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349416383) 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, 44244 + ... + 51539.

Almost surely, 2^349416384 is an apocalyptic number.

It is an amenable number.

349416384 is an abundant number, since it is smaller than the sum of its proper divisors (623749056).

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

349416384 is a wasteful number, since it uses less digits than its factorization.

349416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95817 (or 95807 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 349416384 is about 18692.6826325169. The cubic root of 349416384 is about 704.3379489705.

The spelling of 349416384 in words is "three hundred forty-nine million, four hundred sixteen thousand, three hundred eighty-four".