3312330322440 has 128 divisors (see below), whose sum is σ = 10262031160320. Its totient is φ = 854420582400.

The previous prime is 3312330322417. The next prime is 3312330322459. The reversal of 3312330322440 is 442230332133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3312330322398 and 3312330322407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8351020 + ... + 8738660.

It is an arithmetic number, because the mean of its divisors is an integer number (80172118440).

Almost surely, 2^{3312330322440} is an apocalyptic number.

3312330322440 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 3312330322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131015580160).

3312330322440 is an abundant number, since it is smaller than the sum of its proper divisors (6949700837880).

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

3312330322440 is a wasteful number, since it uses less digits than its factorization.

3312330322440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389983 (or 389979 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 3312330322440 its reverse (442230332133), we get a palindrome (3754560654573).

The spelling of 3312330322440 in words is "three trillion, three hundred twelve billion, three hundred thirty million, three hundred twenty-two thousand, four hundred forty".