3399830019040 has 768 divisors, whose sum is σ = 10980806860800. Its totient is φ = 963477504000.

The previous prime is 3399830019037. The next prime is 3399830019043. The reversal of 3399830019040 is 409100389933.

3399830019040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3399830019037) and next prime (3399830019043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3399830019043) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1132897540 + ... + 1132900540.

It is an arithmetic number, because the mean of its divisors is an integer number (14297925600).

Almost surely, 2^{3399830019040} 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 3399830019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5490403430400).

3399830019040 is an abundant number, since it is smaller than the sum of its proper divisors (7580976841760).

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

3399830019040 is a wasteful number, since it uses less digits than its factorization.

3399830019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 49.

The spelling of 3399830019040 in words is "three trillion, three hundred ninety-nine billion, eight hundred thirty million, nineteen thousand, forty".