3646395466848 has 144 divisors (see below), whose sum is σ = 10416062232576. Its totient is φ = 1210009777920.

The previous prime is 3646395466829. The next prime is 3646395466919. The reversal of 3646395466848 is 8486645936463.

3646395466848 is a `hidden beast` number, since 3 + 6 + 4 + 6 + 39 + 546 + 6 + 8 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72741313 + ... + 72791423.

It is an arithmetic number, because the mean of its divisors is an integer number (72333765504).

Almost surely, 2^{3646395466848} 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 3646395466848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5208031116288).

3646395466848 is an abundant number, since it is smaller than the sum of its proper divisors (6769666765728).

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

3646395466848 is a wasteful number, since it uses less digits than its factorization.

3646395466848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51257 (or 51246 counting only the distinct ones).

The product of its digits is 2149908480, while the sum is 72.

The spelling of 3646395466848 in words is "three trillion, six hundred forty-six billion, three hundred ninety-five million, four hundred sixty-six thousand, eight hundred forty-eight".