3431509235712 has 432 divisors, whose sum is σ = 10833954931800. Its totient is φ = 1083553873920.

The previous prime is 3431509235689. The next prime is 3431509235717. The reversal of 3431509235712 is 2175329051343.

3431509235712 is a `hidden beast` number, since 3 + 4 + 3 + 1 + 50 + 9 + 23 + 571 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×3431509235712³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3431509235717) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 255294912 + ... + 255308352.

Almost surely, 2^{3431509235712} is an apocalyptic number.

3431509235712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3431509235712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416977465900).

3431509235712 is an abundant number, since it is smaller than the sum of its proper divisors (7402445696088).

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

3431509235712 is an frugal number, since it uses more digits than its factorization.

3431509235712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13506 (or 13465 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 3431509235712 in words is "three trillion, four hundred thirty-one billion, five hundred nine million, two hundred thirty-five thousand, seven hundred twelve".