348228000 has 288 divisors, whose sum is σ = 1310858640. Its totient is φ = 87244800.

The previous prime is 348227977. The next prime is 348228007. The reversal of 348228000 is 822843.

It can be written as a sum of positive squares in 8 ways, for example, as 7160976 + 341067024 = 2676^2 + 18468^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348228007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611716 + ... + 612284.

Almost surely, 2^348228000 is an apocalyptic number.

348228000 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 348228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655429320).

348228000 is an abundant number, since it is smaller than the sum of its proper divisors (962630640).

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

348228000 is a wasteful number, since it uses less digits than its factorization.

348228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 348228000 is about 18660.8681470075. The cubic root of 348228000 is about 703.5385448729.

The spelling of 348228000 in words is "three hundred forty-eight million, two hundred twenty-eight thousand".