342400016 has 80 divisors (see below), whose sum is σ = 778712064. Its totient is φ = 142826112.

The previous prime is 342399989. The next prime is 342400049. The reversal of 342400016 is 610004243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772691 + ... + 773133.

Almost surely, 2^342400016 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 342400016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389356032).

342400016 is an abundant number, since it is smaller than the sum of its proper divisors (436312048).

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

342400016 is a wasteful number, since it uses less digits than its factorization.

342400016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 342400016 is about 18504.0540422903. The cubic root of 342400016 is about 699.5916094041.

Adding to 342400016 its reverse (610004243), we get a palindrome (952404259).

The spelling of 342400016 in words is "three hundred forty-two million, four hundred thousand, sixteen".