340100800 has 168 divisors, whose sum is σ = 916722576. Its totient is φ = 123432960.

The previous prime is 340100791. The next prime is 340100801. The reversal of 340100800 is 8001043.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (340100801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1726302 + ... + 1726498.

It is an arithmetic number, because the mean of its divisors is an integer number (5456682).

Almost surely, 2^340100800 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 340100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458361288).

340100800 is an abundant number, since it is smaller than the sum of its proper divisors (576621776).

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

340100800 is a wasteful number, since it uses less digits than its factorization.

340100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 340100800 is about 18441.8220357968. The cubic root of 340100800 is about 698.0221720748.

Adding to 340100800 its reverse (8001043), we get a palindrome (348101843).

The spelling of 340100800 in words is "three hundred forty million, one hundred thousand, eight hundred".