3995608320 has 216 divisors, whose sum is σ = 15081629472. Its totient is φ = 968601600.

The previous prime is 3995608319. The next prime is 3995608333. The reversal of 3995608320 is 238065993.

3995608320 is a `hidden beast` number, since 3 + 9 + 9 + 5 + 608 + 32 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 110955 + ... + 142485.

Almost surely, 2^3995608320 is an apocalyptic number.

3995608320 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 3995608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7540814736).

3995608320 is an abundant number, since it is smaller than the sum of its proper divisors (11086021152).

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

3995608320 is a wasteful number, since it uses less digits than its factorization.

3995608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31569 (or 31552 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3995608320 is about 63210.8243894984. The cubic root of 3995608320 is about 1586.8198927732.

The spelling of 3995608320 in words is "three billion, nine hundred ninety-five million, six hundred eight thousand, three hundred twenty".