3975358464 has 288 divisors, whose sum is σ = 14319789120. Its totient is φ = 1032192000.

The previous prime is 3975358441. The next prime is 3975358487. The reversal of 3975358464 is 4648535793.

3975358464 is a `hidden beast` number, since 3 + 9 + 7 + 53 + 584 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3975358441) and next prime (3975358487).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3975358464³ (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3975358464.

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 23 ways as a sum of consecutive naturals, for example, 1417864 + ... + 1420664.

It is an arithmetic number, because the mean of its divisors is an integer number (49721490).

Almost surely, 2^3975358464 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 3975358464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7159894560).

3975358464 is an abundant number, since it is smaller than the sum of its proper divisors (10344430656).

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

3975358464 is a wasteful number, since it uses less digits than its factorization.

3975358464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2847 (or 2824 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 3975358464 is about 63050.4438049408. The cubic root of 3975358464 is about 1584.1346686851.

The spelling of 3975358464 in words is "three billion, nine hundred seventy-five million, three hundred fifty-eight thousand, four hundred sixty-four".