3689532000 has 720 divisors, whose sum is σ = 16461113760. Its totient is φ = 766656000.

The previous prime is 3689531987. The next prime is 3689532001. The reversal of 3689532000 is 2359863.

3689532000 is a `hidden beast` number, since 368 + 95 + 3 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3689532000² = 27225292758048000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3689532001) 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 119 ways as a sum of consecutive naturals, for example, 335411995 + ... + 335412005.

It is an arithmetic number, because the mean of its divisors is an integer number (22862658).

Almost surely, 2^3689532000 is an apocalyptic number.

3689532000 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 3689532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8230556880).

3689532000 is an abundant number, since it is smaller than the sum of its proper divisors (12771581760).

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

3689532000 is an equidigital number, since it uses as much as digits as its factorization.

3689532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3689532000 is about 60741.5179263739. The cubic root of 3689532000 is about 1545.2203789071.

The spelling of 3689532000 in words is "three billion, six hundred eighty-nine million, five hundred thirty-two thousand".