3687489000 has 192 divisors, whose sum is σ = 13422885840. Its totient is φ = 907660800.

The previous prime is 3687488971. The next prime is 3687489019. The reversal of 3687489000 is 9847863.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 188293284 + 3499195716 = 13722^2 + 59154^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101242 + ... + 132758.

Almost surely, 2^3687489000 is an apocalyptic number.

3687489000 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 3687489000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6711442920).

3687489000 is an abundant number, since it is smaller than the sum of its proper divisors (9735396840).

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

3687489000 is a wasteful number, since it uses less digits than its factorization.

3687489000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31557 (or 31540 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3687489000 is about 60724.6984348214. The cubic root of 3687489000 is about 1544.9351152567.

The spelling of 3687489000 in words is "three billion, six hundred eighty-seven million, four hundred eighty-nine thousand".