340121600 has 288 divisors, whose sum is σ = 1052120160. Its totient is φ = 106168320.

The previous prime is 340121597. The next prime is 340121647. The reversal of 340121600 is 6121043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4659164 + ... + 4659236.

It is an arithmetic number, because the mean of its divisors is an integer number (3653195).

Almost surely, 2^340121600 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 340121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526060080).

340121600 is an abundant number, since it is smaller than the sum of its proper divisors (711998560).

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

340121600 is a wasteful number, since it uses less digits than its factorization.

340121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 340121600 is about 18442.3859627761. The cubic root of 340121600 is about 698.0364017436.

Adding to 340121600 its reverse (6121043), we get a palindrome (346242643).

The spelling of 340121600 in words is "three hundred forty million, one hundred twenty-one thousand, six hundred".