3491698065408 has 810 divisors, whose sum is σ = 12093506673066. Its totient is φ = 967915339776.

The previous prime is 3491698065389. The next prime is 3491698065419. The reversal of 3491698065408 is 8045608961943.

3491698065408 is a `hidden beast` number, since 3 + 4 + 9 + 1 + 6 + 9 + 80 + 6 + 540 + 8 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1799117881344 + 1692580184064 = 1341312^2 + 1300992^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9891495760 + ... + 9891496112.

Almost surely, 2^{3491698065408} 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 3491698065408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046753336533).

3491698065408 is an abundant number, since it is smaller than the sum of its proper divisors (8601808607658).

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

3491698065408 is an equidigital number, since it uses as much as digits as its factorization.

3491698065408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 3491698065408 in words is "three trillion, four hundred ninety-one billion, six hundred ninety-eight million, sixty-five thousand, four hundred eight".