3975988800 has 336 divisors, whose sum is σ = 15121607552. Its totient is φ = 895795200.

The previous prime is 3975988789. The next prime is 3975988801. The reversal of 3975988800 is 88895793.

3975988800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (3975988801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2451990 + ... + 2453610.

Almost surely, 2^3975988800 is an apocalyptic number.

3975988800 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 3975988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560803776).

3975988800 is an abundant number, since it is smaller than the sum of its proper divisors (11145618752).

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

3975988800 is a wasteful number, since it uses less digits than its factorization.

3975988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 3975988800 is about 63055.4422710681. The cubic root of 3975988800 is about 1584.2183914779.

The spelling of 3975988800 in words is "three billion, nine hundred seventy-five million, nine hundred eighty-eight thousand, eight hundred".