3386848810464 has 384 divisors, whose sum is σ = 11685244032000. Its totient is φ = 933786814464.

The previous prime is 3386848810463. The next prime is 3386848810481. The reversal of 3386848810464 is 4640188486833.

3386848810464 is a `hidden beast` number, since 3 + 3 + 8 + 6 + 84 + 88 + 10 + 464 = 666.

It is a super-2 number, since 2×3386848810464² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3386848810463) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 404975947 + ... + 404984309.

It is an arithmetic number, because the mean of its divisors is an integer number (30430323000).

Almost surely, 2^{3386848810464} 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 3386848810464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842622016000).

3386848810464 is an abundant number, since it is smaller than the sum of its proper divisors (8298395221536).

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

3386848810464 is a wasteful number, since it uses less digits than its factorization.

3386848810464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10727 (or 10713 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 63.

The spelling of 3386848810464 in words is "three trillion, three hundred eighty-six billion, eight hundred forty-eight million, eight hundred ten thousand, four hundred sixty-four".