348126240 has 192 divisors, whose sum is σ = 1367331840. Its totient is φ = 72330240.

The previous prime is 348126223. The next prime is 348126241. The reversal of 348126240 is 42621843.

348126240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 348126198 and 348126207.

It is not an unprimeable number, because it can be changed into a prime (348126241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32251 + ... + 41669.

It is an arithmetic number, because the mean of its divisors is an integer number (7121520).

Almost surely, 2^348126240 is an apocalyptic number.

348126240 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 348126240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683665920).

348126240 is an abundant number, since it is smaller than the sum of its proper divisors (1019205600).

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

348126240 is a wasteful number, since it uses less digits than its factorization.

348126240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9455 (or 9447 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 348126240 is about 18658.1413865369. The cubic root of 348126240 is about 703.4700083039.

The spelling of 348126240 in words is "three hundred forty-eight million, one hundred twenty-six thousand, two hundred forty".