342220400 has 120 divisors (see below), whose sum is σ = 889578480. Its totient is φ = 126074880.

The previous prime is 342220393. The next prime is 342220441. The reversal of 342220400 is 4022243.

It is a super-3 number, since 3×342220400³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280592 + ... + 281808.

It is an arithmetic number, because the mean of its divisors is an integer number (7413154).

Almost surely, 2^342220400 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 342220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444789240).

342220400 is an abundant number, since it is smaller than the sum of its proper divisors (547358080).

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

342220400 is a wasteful number, since it uses less digits than its factorization.

342220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1291 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 342220400 is about 18499.1999827020. The cubic root of 342220400 is about 699.4692575549.

Adding to 342220400 its reverse (4022243), we get a palindrome (346242643).

The spelling of 342220400 in words is "three hundred forty-two million, two hundred twenty thousand, four hundred".