349809816 has 128 divisors (see below), whose sum is σ = 961044480. Its totient is φ = 105670656.

The previous prime is 349809809. The next prime is 349809821. The reversal of 349809816 is 618908943.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2228010 + ... + 2228166.

It is an arithmetic number, because the mean of its divisors is an integer number (7508160).

Almost surely, 2^349809816 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 349809816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480522240).

349809816 is an abundant number, since it is smaller than the sum of its proper divisors (611234664).

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

349809816 is a wasteful number, since it uses less digits than its factorization.

349809816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The square root of 349809816 is about 18703.2033619912. The cubic root of 349809816 is about 704.6022040353.

The spelling of 349809816 in words is "three hundred forty-nine million, eight hundred nine thousand, eight hundred sixteen".