3985761000 has 128 divisors (see below), whose sum is σ = 13392288000. Its totient is φ = 981100800.

The previous prime is 3985760981. The next prime is 3985761019. The reversal of 3985761000 is 1675893.

It is an interprime number because it is at equal distance from previous prime (3985760981) and next prime (3985761019).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3985761000.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 12100 + ... + 90099.

It is an arithmetic number, because the mean of its divisors is an integer number (104627250).

Almost surely, 2^3985761000 is an apocalyptic number.

3985761000 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 3985761000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696144000).

3985761000 is an abundant number, since it is smaller than the sum of its proper divisors (9406527000).

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

3985761000 is a wasteful number, since it uses less digits than its factorization.

3985761000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102236 (or 102222 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 3985761000 is about 63132.8836661213. The cubic root of 3985761000 is about 1585.5152288771.

The spelling of 3985761000 in words is "three billion, nine hundred eighty-five million, seven hundred sixty-one thousand".