342210400 has 144 divisors (see below), whose sum is σ = 973625184. Its totient is φ = 115015680.

The previous prime is 342210397. The next prime is 342210403. The reversal of 342210400 is 4012243.

It is an interprime number because it is at equal distance from previous prime (342210397) and next prime (342210403).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342210403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 296224 + ... + 297376.

It is an arithmetic number, because the mean of its divisors is an integer number (6761286).

Almost surely, 2^342210400 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 342210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486812592).

342210400 is an abundant number, since it is smaller than the sum of its proper divisors (631414784).

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

342210400 is a wasteful number, since it uses less digits than its factorization.

342210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 342210400 is about 18498.9296987691. The cubic root of 342210400 is about 699.4624444400.

Adding to 342210400 its reverse (4012243), we get a palindrome (346222643).

The spelling of 342210400 in words is "three hundred forty-two million, two hundred ten thousand, four hundred".