348805120 has 96 divisors (see below), whose sum is σ = 873905760. Its totient is φ = 133365760.

The previous prime is 348805117. The next prime is 348805129. The reversal of 348805120 is 21508843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348805129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 234780 + ... + 236260.

It is an arithmetic number, because the mean of its divisors is an integer number (9103185).

Almost surely, 2^348805120 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 348805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880).

348805120 is an abundant number, since it is smaller than the sum of its proper divisors (525100640).

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

348805120 is a wasteful number, since it uses less digits than its factorization.

348805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 348805120 is about 18676.3251203228. The cubic root of 348805120 is about 703.9269896737.

It can be divided in two parts, 34880 and 5120, that added together give a square (40000 = 200²).

The spelling of 348805120 in words is "three hundred forty-eight million, eight hundred five thousand, one hundred twenty".