342665394400 has 288 divisors, whose sum is σ = 1005523642368. Its totient is φ = 111547238400.

The previous prime is 342665394391. The next prime is 342665394403. The reversal of 342665394400 is 4493566243.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342665394403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9182179 + ... + 9219421.

It is an arithmetic number, because the mean of its divisors is an integer number (3491401536).

Almost surely, 2^342665394400 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 342665394400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502761821184).

342665394400 is an abundant number, since it is smaller than the sum of its proper divisors (662858247968).

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

342665394400 is a wasteful number, since it uses less digits than its factorization.

342665394400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37354 (or 37341 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 342665394400 in words is "three hundred forty-two billion, six hundred sixty-five million, three hundred ninety-four thousand, four hundred".