348430720 has 128 divisors (see below), whose sum is σ = 930631680. Its totient is φ = 123648000.

The previous prime is 348430711. The next prime is 348430729. The reversal of 348430720 is 27034843.

It is a happy number.

348430720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (348430711) and next prime (348430729).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348430729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 302145 + ... + 303295.

It is an arithmetic number, because the mean of its divisors is an integer number (7270560).

Almost surely, 2^348430720 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 348430720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465315840).

348430720 is an abundant number, since it is smaller than the sum of its proper divisors (582200960).

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

348430720 is a wasteful number, since it uses less digits than its factorization.

348430720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1224 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 348430720 is about 18666.2990439991. The cubic root of 348430720 is about 703.6750394179.

The spelling of 348430720 in words is "three hundred forty-eight million, four hundred thirty thousand, seven hundred twenty".