3400000000000 has 312 divisors, whose sum is σ = 8998901330328. Its totient is φ = 1280000000000.

The previous prime is 3399999999997. The next prime is 3400000000009. The reversal of 3400000000000 is 43.

It can be written as a sum of positive squares in 12 ways, for example, as 1188902375424 + 2211097624576 = 1090368^2 + 1486976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400000000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199999999992 + ... + 200000000008.

It is an arithmetic number, because the mean of its divisors is an integer number (28842632469).

Almost surely, 2^{3400000000000} 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 3400000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499450665164).

3400000000000 is an abundant number, since it is smaller than the sum of its proper divisors (5598901330328).

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

3400000000000 is an frugal number, since it uses more digits than its factorization.

3400000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 7.

Adding to 3400000000000 its reverse (43), we get a palindrome (3400000000043).

The spelling of 3400000000000 in words is "three trillion, four hundred billion", and thus it is an aban number.