342374400000 has 540 divisors, whose sum is σ = 1237898988144. Its totient is φ = 91176960000.

The previous prime is 342374399963. The next prime is 342374400089. The reversal of 342374400000 is 4473243.

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, 460799629 + ... + 460800371.

Almost surely, 2^342374400000 is an apocalyptic number.

342374400000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 342374400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618949494072).

342374400000 is an abundant number, since it is smaller than the sum of its proper divisors (895524588144).

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

342374400000 is an frugal number, since it uses more digits than its factorization.

342374400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 342374400000 its reverse (4473243), we get a palindrome (342378873243).

The spelling of 342374400000 in words is "three hundred forty-two billion, three hundred seventy-four million, four hundred thousand".