342441400 has 144 divisors (see below), whose sum is σ = 939549240. Its totient is φ = 115718400.

The previous prime is 342441397. The next prime is 342441413. The reversal of 342441400 is 4144243.

It is a super-2 number, since 2×342441400² = 234532224867920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 813190 + ... + 813610.

Almost surely, 2^342441400 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 342441400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469774620).

342441400 is an abundant number, since it is smaller than the sum of its proper divisors (597107840).

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

342441400 is a wasteful number, since it uses less digits than its factorization.

342441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 342441400 is about 18505.1722499414. The cubic root of 342441400 is about 699.6197935274.

Adding to 342441400 its reverse (4144243), we get a palindrome (346585643).

The spelling of 342441400 in words is "three hundred forty-two million, four hundred forty-one thousand, four hundred".