3682064240064 has 448 divisors, whose sum is σ = 13353985382400. Its totient is φ = 971577040896.

The previous prime is 3682064240053. The next prime is 3682064240069. The reversal of 3682064240064 is 4600424602863.

3682064240064 is a `hidden beast` number, since 36 + 8 + 206 + 4 + 2 + 400 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682064240069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7839844 + ... + 8296220.

Almost surely, 2^{3682064240064} 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 3682064240064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676992691200).

3682064240064 is an abundant number, since it is smaller than the sum of its proper divisors (9671921142336).

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

3682064240064 is a wasteful number, since it uses less digits than its factorization.

3682064240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456457 (or 456441 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 3682064240064 in words is "three trillion, six hundred eighty-two billion, sixty-four million, two hundred forty thousand, sixty-four".