3431106512 has 80 divisors (see below), whose sum is σ = 7096688640. Its totient is φ = 1603595136.

The previous prime is 3431106491. The next prime is 3431106559. The reversal of 3431106512 is 2156011343.

It is a super-2 number, since 2×3431106512² = 23544983793377612288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3110153 + ... + 3111255.

It is an arithmetic number, because the mean of its divisors is an integer number (88708608).

Almost surely, 2^3431106512 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 3431106512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548344320).

3431106512 is an abundant number, since it is smaller than the sum of its proper divisors (3665582128).

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

3431106512 is a wasteful number, since it uses less digits than its factorization.

3431106512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 3431106512 is about 58575.6477727733. The cubic root of 3431106512 is about 1508.2664361880.

Adding to 3431106512 its reverse (2156011343), we get a palindrome (5587117855).

The spelling of 3431106512 in words is "three billion, four hundred thirty-one million, one hundred six thousand, five hundred twelve".