342214400 has 108 divisors (see below), whose sum is σ = 924227304. Its totient is φ = 124416000.

The previous prime is 342214373. The next prime is 342214423. The reversal of 342214400 is 4412243.

It is a super-2 number, since 2×342214400² = 234221391134720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 67970 + ... + 72830.

Almost surely, 2^342214400 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 342214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462113652).

342214400 is an abundant number, since it is smaller than the sum of its proper divisors (582012904).

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

342214400 is a wasteful number, since it uses less digits than its factorization.

342214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4898 (or 4879 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 342214400 is about 18499.0378128161. The cubic root of 342214400 is about 699.4651697019.

Adding to 342214400 its reverse (4412243), we get a palindrome (346626643).

The spelling of 342214400 in words is "three hundred forty-two million, two hundred fourteen thousand, four hundred".