342964800 has 336 divisors, whose sum is σ = 1326611520. Its totient is φ = 85893120.

The previous prime is 342964789. The next prime is 342964823. The reversal of 342964800 is 8469243.

It is a happy number.

342964800 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 648 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 734167 + ... + 734633.

Almost surely, 2^342964800 is an apocalyptic number.

342964800 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 342964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663305760).

342964800 is an abundant number, since it is smaller than the sum of its proper divisors (983646720).

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

342964800 is a wasteful number, since it uses less digits than its factorization.

342964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 342964800 is about 18519.3088423947. The cubic root of 342964800 is about 699.9760536026.

The spelling of 342964800 in words is "three hundred forty-two million, nine hundred sixty-four thousand, eight hundred".