3682455934464 has 240 divisors, whose sum is σ = 11145309935760. Its totient is φ = 1213689692160.

The previous prime is 3682455934387. The next prime is 3682455934471. The reversal of 3682455934464 is 4644395542863.

3682455934464 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 4 + 559 + 34 + 46 + 4 = 666.

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, 10906744 + ... + 11239304.

It is an arithmetic number, because the mean of its divisors is an integer number (46438791399).

Almost surely, 2^{3682455934464} 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 3682455934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5572654967880).

3682455934464 is an abundant number, since it is smaller than the sum of its proper divisors (7462854001296).

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

3682455934464 is an frugal number, since it uses more digits than its factorization.

3682455934464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332683 (or 332655 counting only the distinct ones).

The product of its digits is 298598400, while the sum is 63.

The spelling of 3682455934464 in words is "three trillion, six hundred eighty-two billion, four hundred fifty-five million, nine hundred thirty-four thousand, four hundred sixty-four".