3995671680 has 1440 divisors, whose sum is σ = 19648587420. Its totient is φ = 766402560.

The previous prime is 3995671663. The next prime is 3995671727. The reversal of 3995671680 is 861765993.

It can be written as a sum of positive squares in 2 ways, for example, as 3719048256 + 276623424 = 60984^2 + 16632^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 307359354 + ... + 307359366.

Almost surely, 2^3995671680 is an apocalyptic number.

3995671680 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 3995671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9824293710).

3995671680 is an abundant number, since it is smaller than the sum of its proper divisors (15652915740).

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

3995671680 is a wasteful number, since it uses less digits than its factorization.

3995671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 3995671680 is about 63211.3255674962. The cubic root of 3995671680 is about 1586.8282803468.

The spelling of 3995671680 in words is "three billion, nine hundred ninety-five million, six hundred seventy-one thousand, six hundred eighty".