3320741660040 has 288 divisors, whose sum is σ = 12559543102080. Its totient is φ = 758717938944.

The previous prime is 3320741660039. The next prime is 3320741660077. The reversal of 3320741660040 is 400661470233.

It is a happy number.

3320741660040 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 7 + 4 + 1 + 6 + 600 + 40 = 666.

It is a super-2 number, since 2×3320741660040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3320741659977 and 3320741660004.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44821507 + ... + 44895533.

It is an arithmetic number, because the mean of its divisors is an integer number (43609524660).

Almost surely, 2^{3320741660040} is an apocalyptic number.

3320741660040 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 3320741660040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279771551040).

3320741660040 is an abundant number, since it is smaller than the sum of its proper divisors (9238801442040).

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

3320741660040 is a wasteful number, since it uses less digits than its factorization.

3320741660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76601 (or 76587 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 3320741660040 in words is "three trillion, three hundred twenty billion, seven hundred forty-one million, six hundred sixty thousand, forty".