3493921476864 has 432 divisors, whose sum is σ = 11664734356800. Its totient is φ = 920245616640.

The previous prime is 3493921476863. The next prime is 3493921476907. The reversal of 3493921476864 is 4686741293943.

3493921476864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3493921476795 and 3493921476804.

It is not an unprimeable number, because it can be changed into a prime (3493921476863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 401641987 + ... + 401650685.

It is an arithmetic number, because the mean of its divisors is an integer number (27001699900).

Almost surely, 2^{3493921476864} 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 3493921476864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832367178400).

3493921476864 is an abundant number, since it is smaller than the sum of its proper divisors (8170812879936).

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

3493921476864 is a wasteful number, since it uses less digits than its factorization.

3493921476864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9566 (or 9545 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 66.

The spelling of 3493921476864 in words is "three trillion, four hundred ninety-three billion, nine hundred twenty-one million, four hundred seventy-six thousand, eight hundred sixty-four".