3652085696 has 112 divisors (see below), whose sum is σ = 8640909312. Its totient is φ = 1498521600.

The previous prime is 3652085669. The next prime is 3652085699. The reversal of 3652085696 is 6965802563.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3652085699) 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 15 ways as a sum of consecutive naturals, for example, 1345781 + ... + 1348491.

It is an arithmetic number, because the mean of its divisors is an integer number (77150976).

Almost surely, 2^3652085696 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 3652085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4320454656).

3652085696 is an abundant number, since it is smaller than the sum of its proper divisors (4988823616).

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

3652085696 is a wasteful number, since it uses less digits than its factorization.

3652085696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2858 (or 2848 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 50.

The square root of 3652085696 is about 60432.4887457070. The cubic root of 3652085696 is about 1539.9749385926.

The spelling of 3652085696 in words is "three billion, six hundred fifty-two million, eighty-five thousand, six hundred ninety-six".