3985920000 has 390 divisors, whose sum is σ = 14470400802. Its totient is φ = 1056768000.

The previous prime is 3985919989. The next prime is 3985920007. The reversal of 3985920000 is 295893.

It can be written as a sum of positive squares in 5 ways, for example, as 712249344 + 3273670656 = 26688^2 + 57216^2 .

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 (3985920007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 23039914 + ... + 23040086.

Almost surely, 2^3985920000 is an apocalyptic number.

3985920000 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 3985920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7235200401).

3985920000 is an abundant number, since it is smaller than the sum of its proper divisors (10484480802).

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

3985920000 is an equidigital number, since it uses as much as digits as its factorization.

3985920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 3985920000 is about 63134.1429022363. The cubic root of 3985920000 is about 1585.5363117242.

The spelling of 3985920000 in words is "three billion, nine hundred eighty-five million, nine hundred twenty thousand".