349381440 has 84 divisors (see below), whose sum is σ = 1201736484. Its totient is φ = 93167616.

The previous prime is 349381391. The next prime is 349381441. The reversal of 349381440 is 44183943.

It can be written as a sum of positive squares in 2 ways, for example, as 197796096 + 151585344 = 14064^2 + 12312^2 .

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 = 349381395 and 349381404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349381441) 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 11 ways as a sum of consecutive naturals, for example, 57777 + ... + 63536.

Almost surely, 2^349381440 is an apocalyptic number.

349381440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349381440 is an abundant number, since it is smaller than the sum of its proper divisors (852355044).

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

349381440 is a wasteful number, since it uses less digits than its factorization.

349381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121336 (or 121323 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 349381440 is about 18691.7479118460. The cubic root of 349381440 is about 704.3144686693.

The spelling of 349381440 in words is "three hundred forty-nine million, three hundred eighty-one thousand, four hundred forty".