349613440 has 128 divisors (see below), whose sum is σ = 929970720. Its totient is φ = 124600320.

The previous prime is 349613431. The next prime is 349613441. The reversal of 349613440 is 44316943.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 349613396 and 349613405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349613441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372652 + ... + 373588.

Almost surely, 2^349613440 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 349613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464985360).

349613440 is an abundant number, since it is smaller than the sum of its proper divisors (580357280).

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

349613440 is a wasteful number, since it uses less digits than its factorization.

349613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The square root of 349613440 is about 18697.9528291201. The cubic root of 349613440 is about 704.4703296507.

It can be divided in two parts, 349613 and 440, that added together give a palindrome (350053).

The spelling of 349613440 in words is "three hundred forty-nine million, six hundred thirteen thousand, four hundred forty".