3689067564 has 288 divisors, whose sum is σ = 12020037120. Its totient is φ = 963353088.

The previous prime is 3689067559. The next prime is 3689067581. The reversal of 3689067564 is 4657609863.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3689067564.

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 95 ways as a sum of consecutive naturals, for example, 15832792 + ... + 15833024.

It is an arithmetic number, because the mean of its divisors is an integer number (41736240).

Almost surely, 2^3689067564 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 3689067564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6010018560).

3689067564 is an abundant number, since it is smaller than the sum of its proper divisors (8330969556).

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

3689067564 is a wasteful number, since it uses less digits than its factorization.

3689067564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The square root of 3689067564 is about 60737.6947537524. The cubic root of 3689067564 is about 1545.1555390587.

The spelling of 3689067564 in words is "three billion, six hundred eighty-nine million, sixty-seven thousand, five hundred sixty-four".