342220800 has 168 divisors, whose sum is σ = 1133572536. Its totient is φ = 91095040.

The previous prime is 342220787. The next prime is 342220817. The reversal of 342220800 is 8022243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 614122 + ... + 614678.

Almost surely, 2^342220800 is an apocalyptic number.

342220800 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 342220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566786268).

342220800 is an abundant number, since it is smaller than the sum of its proper divisors (791351736).

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

342220800 is an equidigital number, since it uses as much as digits as its factorization.

342220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 342220800 is about 18499.2107939771. The cubic root of 342220800 is about 699.4695300767.

The spelling of 342220800 in words is "three hundred forty-two million, two hundred twenty thousand, eight hundred".