3689124000 has 384 divisors, whose sum is σ = 12801245184. Its totient is φ = 927360000.

The previous prime is 3689123993. The next prime is 3689124007. The reversal of 3689124000 is 4219863.

It is an interprime number because it is at equal distance from previous prime (3689123993) and next prime (3689124007).

It is not an unprimeable number, because it can be changed into a prime (3689124007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17483895 + ... + 17484105.

It is an arithmetic number, because the mean of its divisors is an integer number (33336576).

Almost surely, 2^3689124000 is an apocalyptic number.

3689124000 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 3689124000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400622592).

3689124000 is an abundant number, since it is smaller than the sum of its proper divisors (9112121184).

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

3689124000 is a wasteful number, since it uses less digits than its factorization.

3689124000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 3689124000 is about 60738.1593399076. The cubic root of 3689124000 is about 1545.1634183716.

The spelling of 3689124000 in words is "three billion, six hundred eighty-nine million, one hundred twenty-four thousand".