349908480 has 120 divisors (see below), whose sum is σ = 1211911272. Its totient is φ = 93302784.

The previous prime is 349908479. The next prime is 349908509. The reversal of 349908480 is 84809943.

It is a happy number.

349908480 is a `hidden beast` number, since 3 + 499 + 0 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15447 + ... + 30633.

Almost surely, 2^349908480 is an apocalyptic number.

349908480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605955636).

349908480 is an abundant number, since it is smaller than the sum of its proper divisors (862002792).

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

349908480 is a wasteful number, since it uses less digits than its factorization.

349908480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15216 (or 15197 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 349908480 is about 18705.8407990659. The cubic root of 349908480 is about 704.6684422536.

The spelling of 349908480 in words is "three hundred forty-nine million, nine hundred eight thousand, four hundred eighty".