3440610720000 has 270 divisors, whose sum is σ = 12396198276462. Its totient is φ = 917495808000.

The previous prime is 3440610719993. The next prime is 3440610720119. The reversal of 3440610720000 is 270160443.

3440610720000 is a `hidden beast` number, since 3 + 4 + 40 + 610 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 389915322624 + 3050695397376 = 624432^2 + 1746624^2 .

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 29 ways as a sum of consecutive naturals, for example, 245344 + ... + 2634656.

Almost surely, 2^{3440610720000} is an apocalyptic number.

3440610720000 is a gapful number since it is divisible by the number (30) 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 3440610720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6198099138231).

3440610720000 is an abundant number, since it is smaller than the sum of its proper divisors (8955587556462).

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

3440610720000 is an equidigital number, since it uses as much as digits as its factorization.

3440610720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2389355 (or 2389323 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 3440610720000 its reverse (270160443), we get a palindrome (3440880880443).

The spelling of 3440610720000 in words is "three trillion, four hundred forty billion, six hundred ten million, seven hundred twenty thousand".