349814080 has 112 divisors (see below), whose sum is σ = 1038612096. Its totient is φ = 109025280.

The previous prime is 349814071. The next prime is 349814093. The reversal of 349814080 is 80418943.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17542 + ... + 31738.

Almost surely, 2^349814080 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 349814080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519306048).

349814080 is an abundant number, since it is smaller than the sum of its proper divisors (688798016).

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

349814080 is a wasteful number, since it uses less digits than its factorization.

349814080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14232 (or 14222 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 349814080 is about 18703.3173528120. The cubic root of 349814080 is about 704.6050669353.

It can be divided in two parts, 3498 and 14080, that added together give a triangular number (17578 = T₁₈₇).

The spelling of 349814080 in words is "three hundred forty-nine million, eight hundred fourteen thousand, eighty".