349449408 has 168 divisors, whose sum is σ = 1248948480. Its totient is φ = 90754560.

The previous prime is 349449403. The next prime is 349449431. The reversal of 349449408 is 804944943.

349449408 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×349449408² = 244229777503100928, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (349449403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40413 + ... + 48291.

Almost surely, 2^349449408 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 349449408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624474240).

349449408 is an abundant number, since it is smaller than the sum of its proper divisors (899499072).

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

349449408 is a wasteful number, since it uses less digits than its factorization.

349449408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7915 (or 7902 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 349449408 is about 18693.5659519526. The cubic root of 349449408 is about 704.3601377065.

The spelling of 349449408 in words is "three hundred forty-nine million, four hundred forty-nine thousand, four hundred eight".