3234214131372 has 216 divisors, whose sum is σ = 10022040887040. Its totient is φ = 874431391680.

The previous prime is 3234214131371. The next prime is 3234214131419. The reversal of 3234214131372 is 2731314124323.

3234214131372 is a `hidden beast` number, since 3 + 234 + 2 + 1 + 41 + 313 + 72 = 666.

3234214131372 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3234214131371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29674297 + ... + 29783087.

It is an arithmetic number, because the mean of its divisors is an integer number (46398337440).

Almost surely, 2^{3234214131372} 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 3234214131372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011020443520).

3234214131372 is an abundant number, since it is smaller than the sum of its proper divisors (6787826755668).

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

3234214131372 is a wasteful number, since it uses less digits than its factorization.

3234214131372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109721 (or 109709 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

Adding to 3234214131372 its reverse (2731314124323), we get a palindrome (5965528255695).

The spelling of 3234214131372 in words is "three trillion, two hundred thirty-four billion, two hundred fourteen million, one hundred thirty-one thousand, three hundred seventy-two".