340216800 has 432 divisors, whose sum is σ = 1410659712. Its totient is φ = 70425600.

The previous prime is 340216781. The next prime is 340216837. The reversal of 340216800 is 8612043.

It is a happy number.

340216800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1293469 + ... + 1293731.

It is an arithmetic number, because the mean of its divisors is an integer number (3265416).

Almost surely, 2^340216800 is an apocalyptic number.

340216800 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 340216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705329856).

340216800 is an abundant number, since it is smaller than the sum of its proper divisors (1070442912).

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

340216800 is a wasteful number, since it uses less digits than its factorization.

340216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 340216800 is about 18444.9667931390. The cubic root of 340216800 is about 698.1015224400.

Adding to 340216800 its reverse (8612043), we get a palindrome (348828843).

It can be divided in two parts, 3402 and 16800, that multiplied together give a square (57153600 = 7560²).

The spelling of 340216800 in words is "three hundred forty million, two hundred sixteen thousand, eight hundred".