3340336703328 has 144 divisors (see below), whose sum is σ = 10006054858800. Its totient is φ = 1054102533120.

The previous prime is 3340336703273. The next prime is 3340336703329. The reversal of 3340336703328 is 8233076330433.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3340336703328² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3340336703329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7605898 + ... + 8033078.

It is an arithmetic number, because the mean of its divisors is an integer number (69486492075).

Almost surely, 2^{3340336703328} is an apocalyptic number.

3340336703328 is a gapful number since it is divisible by the number (38) 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 3340336703328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003027429400).

3340336703328 is an abundant number, since it is smaller than the sum of its proper divisors (6665718155472).

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

3340336703328 is a wasteful number, since it uses less digits than its factorization.

3340336703328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428645 (or 428634 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 45.

The spelling of 3340336703328 in words is "three trillion, three hundred forty billion, three hundred thirty-six million, seven hundred three thousand, three hundred twenty-eight".