3431132200314 has 192 divisors, whose sum is σ = 9491052130560. Its totient is φ = 904676636160.

The previous prime is 3431132200297. The next prime is 3431132200337. The reversal of 3431132200314 is 4130022311343.

It is a happy number.

3431132200314 is a `hidden beast` number, since 3 + 4 + 311 + 32 + 2 + 0 + 0 + 314 = 666.

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

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, 224704672 + ... + 224719940.

It is an arithmetic number, because the mean of its divisors is an integer number (49432563180).

Almost surely, 2^{3431132200314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431132200314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745526065280).

3431132200314 is an abundant number, since it is smaller than the sum of its proper divisors (6059919930246).

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

3431132200314 is a wasteful number, since it uses less digits than its factorization.

3431132200314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20387 (or 20375 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3431132200314 its reverse (4130022311343), we get a palindrome (7561154511657).

The spelling of 3431132200314 in words is "three trillion, four hundred thirty-one billion, one hundred thirty-two million, two hundred thousand, three hundred fourteen".