3985500672 has 200 divisors, whose sum is σ = 12597643476. Its totient is φ = 1250131968.

The previous prime is 3985500671. The next prime is 3985500683. The reversal of 3985500672 is 2760055893.

It is a happy number.

3985500672 is a `hidden beast` number, since 3 + 9 + 85 + 500 + 67 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3640432896 + 345067776 = 60336^2 + 18576^2 .

It is not an unprimeable number, because it can be changed into a prime (3985500671) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 702198 + ... + 707850.

Almost surely, 2^3985500672 is an apocalyptic number.

3985500672 is a gapful number since it is divisible by the number (32) 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 3985500672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6298821738).

3985500672 is an abundant number, since it is smaller than the sum of its proper divisors (8612142804).

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

3985500672 is an equidigital number, since it uses as much as digits as its factorization.

3985500672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5675 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3985500672 is about 63130.8218859853. The cubic root of 3985500672 is about 1585.4807090790.

The spelling of 3985500672 in words is "three billion, nine hundred eighty-five million, five hundred thousand, six hundred seventy-two".