3689589120 has 256 divisors, whose sum is σ = 13503559680. Its totient is φ = 839393280.

The previous prime is 3689589077. The next prime is 3689589143. The reversal of 3689589120 is 219859863.

It is a happy number.

3689589120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3689589120² = 27226135748844748800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3641734 + ... + 3642746.

It is an arithmetic number, because the mean of its divisors is an integer number (52748280).

Almost surely, 2^3689589120 is an apocalyptic number.

3689589120 is a gapful number since it is divisible by the number (30) 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 3689589120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6751779840).

3689589120 is an abundant number, since it is smaller than the sum of its proper divisors (9813970560).

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

3689589120 is a wasteful number, since it uses less digits than its factorization.

3689589120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1313 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 3689589120 is about 60741.9881136599. The cubic root of 3689589120 is about 1545.2283530469.

The spelling of 3689589120 in words is "three billion, six hundred eighty-nine million, five hundred eighty-nine thousand, one hundred twenty".