3400344520000 has 140 divisors (see below), whose sum is σ = 8438478838020. Its totient is φ = 1359052288000.

The previous prime is 3400344519997. The next prime is 3400344520009. The reversal of 3400344520000 is 254430043.

It can be written as a sum of positive squares in 10 ways, for example, as 3121780124736 + 278564395264 = 1766856^2 + 527792^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3400344520009) 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 19 ways as a sum of consecutive naturals, for example, 51046716 + ... + 51113284.

It is an arithmetic number, because the mean of its divisors is an integer number (60274848843).

Almost surely, 2^{3400344520000} 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 3400344520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4219239419010).

3400344520000 is an abundant number, since it is smaller than the sum of its proper divisors (5038134318020).

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

3400344520000 is an equidigital number, since it uses as much as digits as its factorization.

3400344520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67878 (or 67853 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 3400344520000 its reverse (254430043), we get a palindrome (3400598950043).

The spelling of 3400344520000 in words is "three trillion, four hundred billion, three hundred forty-four million, five hundred twenty thousand".