342002333000 has 96 divisors (see below), whose sum is σ = 808155723960. Its totient is φ = 135468566400.

The previous prime is 342002332943. The next prime is 342002333039. The reversal of 342002333000 is 333200243.

It can be written as a sum of positive squares in 4 ways, for example, as 205577000836 + 136425332164 = 453406^2 + 369358^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10592882 + ... + 10625118.

Almost surely, 2^342002333000 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 342002333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404077861980).

342002333000 is an abundant number, since it is smaller than the sum of its proper divisors (466153390960).

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

342002333000 is a wasteful number, since it uses less digits than its factorization.

342002333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32464 (or 32347 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 342002333000 its reverse (333200243), we get a palindrome (342335533243).

The spelling of 342002333000 in words is "three hundred forty-two billion, two million, three hundred thirty-three thousand".