3685769568 has 432 divisors, whose sum is σ = 12476567376. Its totient is φ = 1063756800.

The previous prime is 3685769561. The next prime is 3685769597. The reversal of 3685769568 is 8659675863.

3685769568 is a `hidden beast` number, since 3 + 6 + 8 + 5 + 7 + 69 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3685769561) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36492718 + ... + 36492818.

It is an arithmetic number, because the mean of its divisors is an integer number (28880943).

Almost surely, 2^3685769568 is an apocalyptic number.

3685769568 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3685769568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6238283688).

3685769568 is an abundant number, since it is smaller than the sum of its proper divisors (8790797808).

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

3685769568 is a wasteful number, since it uses less digits than its factorization.

3685769568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 138 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The square root of 3685769568 is about 60710.5391839012. The cubic root of 3685769568 is about 1544.6949496710.

The spelling of 3685769568 in words is "three billion, six hundred eighty-five million, seven hundred sixty-nine thousand, five hundred sixty-eight".