3649886064 has 120 divisors (see below), whose sum is σ = 11200176000. Its totient is φ = 1100373120.

The previous prime is 3649886063. The next prime is 3649886069. The reversal of 3649886064 is 4606889463.

3649886064 is a `hidden beast` number, since 36 + 498 + 8 + 60 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 3649886064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3649886063) 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 23 ways as a sum of consecutive naturals, for example, 309427 + ... + 321005.

It is an arithmetic number, because the mean of its divisors is an integer number (93334800).

Almost surely, 2^3649886064 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 3649886064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5600088000).

3649886064 is an abundant number, since it is smaller than the sum of its proper divisors (7550289936).

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

3649886064 is a wasteful number, since it uses less digits than its factorization.

3649886064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11803 (or 11794 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 3649886064 is about 60414.2869195690. The cubic root of 3649886064 is about 1539.6657035663.

The spelling of 3649886064 in words is "three billion, six hundred forty-nine million, eight hundred eighty-six thousand, sixty-four".