3411132341232 has 640 divisors, whose sum is σ = 11357993041920. Its totient is φ = 856592363520.

The previous prime is 3411132341191. The next prime is 3411132341269. The reversal of 3411132341232 is 2321432311143.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3411132341232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6701634994 + ... + 6701635502.

It is an arithmetic number, because the mean of its divisors is an integer number (17746864128).

Almost surely, 2^{3411132341232} 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 3411132341232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5678996520960).

3411132341232 is an abundant number, since it is smaller than the sum of its proper divisors (7946860700688).

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

3411132341232 is a wasteful number, since it uses less digits than its factorization.

3411132341232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 975 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

Adding to 3411132341232 its reverse (2321432311143), we get a palindrome (5732564652375).

The spelling of 3411132341232 in words is "three trillion, four hundred eleven billion, one hundred thirty-two million, three hundred forty-one thousand, two hundred thirty-two".