3975801984 has 576 divisors, whose sum is σ = 15328029600. Its totient is φ = 975421440.

The previous prime is 3975801983. The next prime is 3975802073. The reversal of 3975801984 is 4891085793.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 3975801984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3975801983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11797464 + ... + 11797800.

Almost surely, 2^3975801984 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 3975801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664014800).

3975801984 is an abundant number, since it is smaller than the sum of its proper divisors (11352227616).

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

3975801984 is a wasteful number, since it uses less digits than its factorization.

3975801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 3975801984 is about 63053.9608906530. The cubic root of 3975801984 is about 1584.1935790355.

The spelling of 3975801984 in words is "three billion, nine hundred seventy-five million, eight hundred one thousand, nine hundred eighty-four".