3968406720 has 168 divisors, whose sum is σ = 14090294400. Its totient is φ = 1024081920.

The previous prime is 3968406677. The next prime is 3968406727. The reversal of 3968406720 is 276048693.

It is a super-3 number, since 3×3968406720³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3968406727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67056 + ... + 111504.

It is an arithmetic number, because the mean of its divisors is an integer number (83870800).

Almost surely, 2^3968406720 is an apocalyptic number.

3968406720 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 3968406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045147200).

3968406720 is an abundant number, since it is smaller than the sum of its proper divisors (10121887680).

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

3968406720 is a wasteful number, since it uses less digits than its factorization.

3968406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44503 (or 44490 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3968406720 is about 62995.2912526008. The cubic root of 3968406720 is about 1583.2107332095.

The spelling of 3968406720 in words is "three billion, nine hundred sixty-eight million, four hundred six thousand, seven hundred twenty".