348331320 has 256 divisors, whose sum is σ = 1247616000. Its totient is φ = 86220288.

The previous prime is 348331301. The next prime is 348331349. The reversal of 348331320 is 23133843.

348331320 is a `hidden beast` number, since 3 + 4 + 8 + 331 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 918891 + ... + 919269.

It is an arithmetic number, because the mean of its divisors is an integer number (4873500).

Almost surely, 2^348331320 is an apocalyptic number.

348331320 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 348331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623808000).

348331320 is an abundant number, since it is smaller than the sum of its proper divisors (899284680).

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

348331320 is a wasteful number, since it uses less digits than its factorization.

348331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 348331320 is about 18663.6363016428. The cubic root of 348331320 is about 703.6081184613.

The spelling of 348331320 in words is "three hundred forty-eight million, three hundred thirty-one thousand, three hundred twenty".