349422080 has 320 divisors, whose sum is σ = 1074788352. Its totient is φ = 106168320.

The previous prime is 349422037. The next prime is 349422133. The reversal of 349422080 is 80224943.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 9443822 + ... + 9443858.

Almost surely, 2^349422080 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 349422080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537394176).

349422080 is an abundant number, since it is smaller than the sum of its proper divisors (725366272).

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

349422080 is a wasteful number, since it uses less digits than its factorization.

349422080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 349422080 is about 18692.8349909798. The cubic root of 349422080 is about 704.3417761972.

The spelling of 349422080 in words is "three hundred forty-nine million, four hundred twenty-two thousand, eighty".