3412000000000 has 240 divisors, whose sum is σ = 8537914164780. Its totient is φ = 1363200000000.

The previous prime is 3411999999953. The next prime is 3412000000009. The reversal of 3412000000000 is 2143.

It can be written as a sum of positive squares in 10 ways, for example, as 1285629428736 + 2126370571264 = 1133856^2 + 1458208^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (3412000000009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3999999574 + ... + 4000000426.

Almost surely, 2^{3412000000000} 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 3412000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268957082390).

3412000000000 is an abundant number, since it is smaller than the sum of its proper divisors (5125914164780).

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

3412000000000 is an frugal number, since it uses more digits than its factorization.

3412000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 3412000000000 its reverse (2143), we get a palindrome (3412000002143).

The spelling of 3412000000000 in words is "three trillion, four hundred twelve billion", and thus it is an aban number.