340224000 has 192 divisors, whose sum is σ = 1134544320. Its totient is φ = 90521600.

The previous prime is 340223957. The next prime is 340224091. The reversal of 340224000 is 422043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×340224000⁴ (a number of 35 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767779 + ... + 768221.

It is an arithmetic number, because the mean of its divisors is an integer number (5909085).

Almost surely, 2^340224000 is an apocalyptic number.

340224000 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 340224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567272160).

340224000 is an abundant number, since it is smaller than the sum of its proper divisors (794320320).

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

340224000 is an equidigital number, since it uses as much as digits as its factorization.

340224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 340224000 is about 18445.1619673019. The cubic root of 340224000 is about 698.1064470405.

Adding to 340224000 its reverse (422043), we get a palindrome (340646043).

The spelling of 340224000 in words is "three hundred forty million, two hundred twenty-four thousand".