3193865768340 has 576 divisors, whose sum is σ = 10685093852160. Its totient is φ = 767517327360.

The previous prime is 3193865768297. The next prime is 3193865768383. The reversal of 3193865768340 is 438675683913.

3193865768340 is a `hidden beast` number, since 3 + 19 + 3 + 8 + 6 + 576 + 8 + 3 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3193865768297) and next prime (3193865768383).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8427086271 + ... + 8427086649.

It is an arithmetic number, because the mean of its divisors is an integer number (18550510160).

Almost surely, 2^{3193865768340} is an apocalyptic number.

3193865768340 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 3193865768340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342546926080).

3193865768340 is an abundant number, since it is smaller than the sum of its proper divisors (7491228083820).

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

3193865768340 is a wasteful number, since it uses less digits than its factorization.

3193865768340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 3193865768340 in words is "three trillion, one hundred ninety-three billion, eight hundred sixty-five million, seven hundred sixty-eight thousand, three hundred forty".