3968262144 has 448 divisors, whose sum is σ = 14721108480. Its totient is φ = 1026293760.

The previous prime is 3968262113. The next prime is 3968262161. The reversal of 3968262144 is 4412628693.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (497664) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 3968262144.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 17031052 + ... + 17031284.

Almost surely, 2^3968262144 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 3968262144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360554240).

3968262144 is an abundant number, since it is smaller than the sum of its proper divisors (10752846336).

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

3968262144 is a wasteful number, since it uses less digits than its factorization.

3968262144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 256 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 3968262144 is about 62994.1437278101. The cubic root of 3968262144 is about 1583.1915065970.

The spelling of 3968262144 in words is "three billion, nine hundred sixty-eight million, two hundred sixty-two thousand, one hundred forty-four".