3683536704 has 84 divisors (see below), whose sum is σ = 10573129476. Its totient is φ = 1226108928.

The previous prime is 3683536691. The next prime is 3683536721. The reversal of 3683536704 is 4076353863.

3683536704 is a `hidden beast` number, since 36 + 83 + 536 + 7 + 0 + 4 = 666.

3683536704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1374926400 + 2308610304 = 37080^2 + 48048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3683536704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 441112 + ... + 449384.

It is an arithmetic number, because the mean of its divisors is an integer number (125870589).

Almost surely, 2^3683536704 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 3683536704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286564738).

3683536704 is an abundant number, since it is smaller than the sum of its proper divisors (6889592772).

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

3683536704 is a wasteful number, since it uses less digits than its factorization.

3683536704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9064 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 3683536704 is about 60692.1469714163. The cubic root of 3683536704 is about 1544.3829577961.

The spelling of 3683536704 in words is "three billion, six hundred eighty-three million, five hundred thirty-six thousand, seven hundred four".