342784000 has 192 divisors, whose sum is σ = 930121920. Its totient is φ = 125337600.

The previous prime is 342783989. The next prime is 342784007. The reversal of 342784000 is 487243.

It is a self number, because there is not a number n which added to its sum of digits gives 342784000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342784007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3327949 + ... + 3328051.

It is an arithmetic number, because the mean of its divisors is an integer number (4844385).

Almost surely, 2^342784000 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 342784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465060960).

342784000 is an abundant number, since it is smaller than the sum of its proper divisors (587337920).

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

342784000 is a wasteful number, since it uses less digits than its factorization.

342784000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 342784000 is about 18514.4268072225. The cubic root of 342784000 is about 699.8530303694.

The spelling of 342784000 in words is "three hundred forty-two million, seven hundred eighty-four thousand".