341328000 has 256 divisors, whose sum is σ = 1220768640. Its totient is φ = 83865600.

The previous prime is 341327971. The next prime is 341328007. The reversal of 341328000 is 823143.

It is a happy number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (341328007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623727 + ... + 624273.

Almost surely, 2^341328000 is an apocalyptic number.

341328000 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 341328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610384320).

341328000 is an abundant number, since it is smaller than the sum of its proper divisors (879440640).

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

341328000 is a wasteful number, since it uses less digits than its factorization.

341328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 341328000 is about 18475.0642759369. The cubic root of 341328000 is about 698.8607318515.

It can be divided in two parts, 3413 and 28000, that added together give a palindrome (31413).

The spelling of 341328000 in words is "three hundred forty-one million, three hundred twenty-eight thousand".