349309440 has 120 divisors (see below), whose sum is σ = 1209836628. Its totient is φ = 93143040.

The previous prime is 349309439. The next prime is 349309459. The reversal of 349309440 is 44903943.

349309440 is a `hidden beast` number, since 349 + 309 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 348643584 + 665856 = 18672^2 + 816^2 .

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

It is a super-2 number, since 2×349309440² = 244034169746227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 349309395 and 349309404.

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, 15460 + ... + 30620.

Almost surely, 2^349309440 is an apocalyptic number.

349309440 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 349309440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604918314).

349309440 is an abundant number, since it is smaller than the sum of its proper divisors (860527188).

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

349309440 is a wasteful number, since it uses less digits than its factorization.

349309440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15190 (or 15171 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 349309440 is about 18689.8218290063. The cubic root of 349309440 is about 704.2660839912.

The spelling of 349309440 in words is "three hundred forty-nine million, three hundred nine thousand, four hundred forty".