3339730370340 has 432 divisors, whose sum is σ = 13161023733312. Its totient is φ = 704645754624.

The previous prime is 3339730370303. The next prime is 3339730370359. The reversal of 3339730370340 is 430730379333.

3339730370340 is a `hidden beast` number, since 3 + 339 + 7 + 303 + 7 + 0 + 3 + 4 + 0 = 666.

3339730370340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3339730370340² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2556427 + ... + 3635213.

It is an arithmetic number, because the mean of its divisors is an integer number (30465332716).

Almost surely, 2^{3339730370340} is an apocalyptic number.

3339730370340 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 3339730370340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6580511866656).

3339730370340 is an abundant number, since it is smaller than the sum of its proper divisors (9821293362972).

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

3339730370340 is a wasteful number, since it uses less digits than its factorization.

3339730370340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078838 (or 1078817 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 45.

The spelling of 3339730370340 in words is "three trillion, three hundred thirty-nine billion, seven hundred thirty million, three hundred seventy thousand, three hundred forty".