3201000142340 has 288 divisors, whose sum is σ = 9587635110144. Its totient is φ = 866790973440.

The previous prime is 3201000142321. The next prime is 3201000142381. The reversal of 3201000142340 is 432410001023.

3201000142340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3201000142340² (a number of 26 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 5509154 + ... + 6062406.

It is an arithmetic number, because the mean of its divisors is an integer number (33290399688).

Almost surely, 2^{3201000142340} 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 3201000142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4793817555072).

3201000142340 is an abundant number, since it is smaller than the sum of its proper divisors (6386634967804).

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

3201000142340 is a wasteful number, since it uses less digits than its factorization.

3201000142340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553327 (or 553308 counting only the distinct ones).

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

Adding to 3201000142340 its reverse (432410001023), we get a palindrome (3633410143363).

The spelling of 3201000142340 in words is "three trillion, two hundred one billion, one hundred forty-two thousand, three hundred forty".