3968468720 has 120 divisors (see below), whose sum is σ = 9774218160. Its totient is φ = 1497523200.

The previous prime is 3968468719. The next prime is 3968468731. The reversal of 3968468720 is 278648693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3151451 + ... + 3152709.

It is an arithmetic number, because the mean of its divisors is an integer number (81451818).

Almost surely, 2^3968468720 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 3968468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887109080).

3968468720 is an abundant number, since it is smaller than the sum of its proper divisors (5805749440).

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

3968468720 is a wasteful number, since it uses less digits than its factorization.

3968468720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The square root of 3968468720 is about 62995.7833509514. The cubic root of 3968468720 is about 1583.2189782107.

The spelling of 3968468720 in words is "three billion, nine hundred sixty-eight million, four hundred sixty-eight thousand, seven hundred twenty".