3310406723344 has 80 divisors (see below), whose sum is σ = 7456953581568. Its totient is φ = 1394418969216.

The previous prime is 3310406723339. The next prime is 3310406723357. The reversal of 3310406723344 is 4433276040133.

It is a super-2 number, since 2×3310406723344² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3310406723297 and 3310406723306.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 434427 + ... + 2609509.

Almost surely, 2^{3310406723344} 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 3310406723344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728476790784).

3310406723344 is an abundant number, since it is smaller than the sum of its proper divisors (4146546858224).

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

3310406723344 is a wasteful number, since it uses less digits than its factorization.

3310406723344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2175332 (or 2175326 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 40.

The spelling of 3310406723344 in words is "three trillion, three hundred ten billion, four hundred six million, seven hundred twenty-three thousand, three hundred forty-four".