342226400 has 72 divisors (see below), whose sum is σ = 841289904. Its totient is φ = 135936000.

The previous prime is 342226397. The next prime is 342226403. The reversal of 342226400 is 4622243.

It is an interprime number because it is at equal distance from previous prime (342226397) and next prime (342226403).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342226403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119384 + ... + 122216.

It is an arithmetic number, because the mean of its divisors is an integer number (11684582).

Almost surely, 2^342226400 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 342226400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420644952).

342226400 is an abundant number, since it is smaller than the sum of its proper divisors (499063504).

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

342226400 is a wasteful number, since it uses less digits than its factorization.

342226400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3004 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 342226400 is about 18499.3621511662. The cubic root of 342226400 is about 699.4733453601.

Adding to 342226400 its reverse (4622243), we get a palindrome (346848643).

The spelling of 342226400 in words is "three hundred forty-two million, two hundred twenty-six thousand, four hundred".