3975680000 has 130 divisors (see below), whose sum is σ = 9941203734. Its totient is φ = 1589248000.

The previous prime is 3975679999. The next prime is 3975680011. The reversal of 3975680000 is 865793.

It can be written as a sum of positive squares in 5 ways, for example, as 2466512896 + 1509167104 = 49664^2 + 38848^2 .

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 9 ways as a sum of consecutive naturals, for example, 2559224 + ... + 2560776.

Almost surely, 2^3975680000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3975680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970601867).

3975680000 is an abundant number, since it is smaller than the sum of its proper divisors (5965523734).

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

3975680000 is an frugal number, since it uses more digits than its factorization.

3975680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 3975680000 is about 63052.9935847617. The cubic root of 3975680000 is about 1584.1773770008.

The spelling of 3975680000 in words is "three billion, nine hundred seventy-five million, six hundred eighty thousand".