3202141012344 has 128 divisors (see below), whose sum is σ = 9047120256000. Its totient is φ = 1049225329152.

The previous prime is 3202141012321. The next prime is 3202141012349. The reversal of 3202141012344 is 4432101412023.

3202141012344 is a `hidden beast` number, since 3 + 2 + 0 + 214 + 101 + 2 + 344 = 666.

3202141012344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202141012349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3460192 + ... + 4286864.

It is an arithmetic number, because the mean of its divisors is an integer number (70680627000).

Almost surely, 2^{3202141012344} 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 3202141012344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4523560128000).

3202141012344 is an abundant number, since it is smaller than the sum of its proper divisors (5844979243656).

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

3202141012344 is a wasteful number, since it uses less digits than its factorization.

3202141012344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826994 (or 826984 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 3202141012344 its reverse (4432101412023), we get a palindrome (7634242424367).

The spelling of 3202141012344 in words is "three trillion, two hundred two billion, one hundred forty-one million, twelve thousand, three hundred forty-four".