349863416 has 64 divisors (see below), whose sum is σ = 810585600. Its totient is φ = 138195072.

The previous prime is 349863413. The next prime is 349863421. The reversal of 349863416 is 614368943.

349863416 is nontrivially palindromic in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349863413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34925 + ... + 43811.

It is an arithmetic number, because the mean of its divisors is an integer number (12665400).

Almost surely, 2^349863416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349863416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405292800).

349863416 is an abundant number, since it is smaller than the sum of its proper divisors (460722184).

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

349863416 is a wasteful number, since it uses less digits than its factorization.

349863416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8956 (or 8952 counting only the distinct ones).

The product of its digits is 373248, while the sum is 44.

The square root of 349863416 is about 18704.6362167245. The cubic root of 349863416 is about 704.6381900174.

The spelling of 349863416 in words is "three hundred forty-nine million, eight hundred sixty-three thousand, four hundred sixteen".