340854800 has 240 divisors, whose sum is σ = 988061760. Its totient is φ = 111360000.

The previous prime is 340854797. The next prime is 340854803. The reversal of 340854800 is 8458043.

It is an interprime number because it is at equal distance from previous prime (340854797) and next prime (340854803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340854803) 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 47 ways as a sum of consecutive naturals, for example, 3374750 + ... + 3374850.

It is an arithmetic number, because the mean of its divisors is an integer number (4116924).

Almost surely, 2^340854800 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 340854800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494030880).

340854800 is an abundant number, since it is smaller than the sum of its proper divisors (647206960).

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

340854800 is a wasteful number, since it uses less digits than its factorization.

340854800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 340854800 is about 18462.2533835932. The cubic root of 340854800 is about 698.5376273513.

The spelling of 340854800 in words is "three hundred forty million, eight hundred fifty-four thousand, eight hundred".