3685635744 has 144 divisors (see below), whose sum is σ = 11342159136. Its totient is φ = 1044825600.

The previous prime is 3685635719. The next prime is 3685635757. The reversal of 3685635744 is 4475365863.

It is an unprimeable number.

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, 613234 + ... + 619214.

It is an arithmetic number, because the mean of its divisors is an integer number (78764994).

Almost surely, 2^3685635744 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 3685635744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671079568).

3685635744 is an abundant number, since it is smaller than the sum of its proper divisors (7656523392).

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

3685635744 is a wasteful number, since it uses less digits than its factorization.

3685635744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 6124 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 51.

The square root of 3685635744 is about 60709.4370258859. The cubic root of 3685635744 is about 1544.6762543660.

The spelling of 3685635744 in words is "three billion, six hundred eighty-five million, six hundred thirty-five thousand, seven hundred forty-four".