349374240 has 72 divisors (see below), whose sum is σ = 1192244508. Its totient is φ = 93166080.

The previous prime is 349374227. The next prime is 349374253. The reversal of 349374240 is 42473943.

349374240 is a `hidden beast` number, since 3 + 49 + 374 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (349374227) and next prime (349374253).

It can be written as a sum of positive squares in 2 ways, for example, as 341954064 + 7420176 = 18492^2 + 2724^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 349374195 and 349374204.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 119871 + ... + 122750.

Almost surely, 2^349374240 is an apocalyptic number.

349374240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349374240 is an abundant number, since it is smaller than the sum of its proper divisors (842870268).

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

349374240 is a wasteful number, since it uses less digits than its factorization.

349374240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242642 (or 242631 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 349374240 is about 18691.5553124934. Note that the first 3 decimals coincide. The cubic root of 349374240 is about 704.3096305007.

The spelling of 349374240 in words is "three hundred forty-nine million, three hundred seventy-four thousand, two hundred forty".