3975277824 has 504 divisors, whose sum is σ = 14476916160. Its totient is φ = 1063010304.

The previous prime is 3975277781. The next prime is 3975277847. The reversal of 3975277824 is 4287725793.

3975277824 is a `hidden beast` number, since 3 + 97 + 527 + 7 + 8 + 24 = 666.

3975277824 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 (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22208167 + ... + 22208345.

It is an arithmetic number, because the mean of its divisors is an integer number (28724040).

Almost surely, 2^3975277824 is an apocalyptic number.

3975277824 is a gapful number since it is divisible by the number (34) 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 3975277824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238458080).

3975277824 is an abundant number, since it is smaller than the sum of its proper divisors (10501638336).

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

3975277824 is an equidigital number, since it uses as much as digits as its factorization.

3975277824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 208 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The square root of 3975277824 is about 63049.8043137328. The cubic root of 3975277824 is about 1584.1239572415.

The spelling of 3975277824 in words is "three billion, nine hundred seventy-five million, two hundred seventy-seven thousand, eight hundred twenty-four".