3995819520 has 640 divisors, whose sum is σ = 16546083840. Its totient is φ = 798228480.

The previous prime is 3995819507. The next prime is 3995819537. The reversal of 3995819520 is 259185993.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17149324 + ... + 17149556.

It is an arithmetic number, because the mean of its divisors is an integer number (25853256).

Almost surely, 2^3995819520 is an apocalyptic number.

3995819520 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 3995819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273041920).

3995819520 is an abundant number, since it is smaller than the sum of its proper divisors (12550264320).

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

3995819520 is a wasteful number, since it uses less digits than its factorization.

3995819520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 51.

The square root of 3995819520 is about 63212.4949673718. The cubic root of 3995819520 is about 1586.8478510071.

The spelling of 3995819520 in words is "three billion, nine hundred ninety-five million, eight hundred nineteen thousand, five hundred twenty".