349386240 has 320 divisors, whose sum is σ = 1308916224. Its totient is φ = 77856768.

The previous prime is 349386221. The next prime is 349386263. The reversal of 349386240 is 42683943.

349386240 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 (320).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3601872 + ... + 3601968.

Almost surely, 2^349386240 is an apocalyptic number.

349386240 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 349386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654458112).

349386240 is an abundant number, since it is smaller than the sum of its proper divisors (959529984).

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

349386240 is an equidigital number, since it uses as much as digits as its factorization.

349386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 349386240 is about 18691.8763103119. The cubic root of 349386240 is about 704.3176940782.

The spelling of 349386240 in words is "three hundred forty-nine million, three hundred eighty-six thousand, two hundred forty".