3431683180332 has 144 divisors (see below), whose sum is σ = 9968470686720. Its totient is φ = 984451708800.

The previous prime is 3431683180307. The next prime is 3431683180357. The reversal of 3431683180332 is 2330813861343.

3431683180332 is a `hidden beast` number, since 3 + 431 + 6 + 8 + 3 + 180 + 3 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (3431683180307) and next prime (3431683180357).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10164357 + ... + 10496547.

It is an arithmetic number, because the mean of its divisors is an integer number (69225490880).

Almost surely, 2^{3431683180332} 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 3431683180332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4984235343360).

3431683180332 is an abundant number, since it is smaller than the sum of its proper divisors (6536787506388).

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

3431683180332 is a wasteful number, since it uses less digits than its factorization.

3431683180332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333604 (or 333599 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 3431683180332 in words is "three trillion, four hundred thirty-one billion, six hundred eighty-three million, one hundred eighty thousand, three hundred thirty-two".