3968272000 has 256 divisors, whose sum is σ = 12304431360. Its totient is φ = 1236480000.

The previous prime is 3968271977. The next prime is 3968272003. The reversal of 3968272000 is 2728693.

It is not an unprimeable number, because it can be changed into a prime (3968272003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230390 + ... + 1233610.

It is an arithmetic number, because the mean of its divisors is an integer number (48064185).

Almost surely, 2^3968272000 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 3968272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152215680).

3968272000 is an abundant number, since it is smaller than the sum of its proper divisors (8336159360).

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

3968272000 is a wasteful number, since it uses less digits than its factorization.

3968272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3968272000 is about 62994.2219572557. The cubic root of 3968272000 is about 1583.1928173238.

The spelling of 3968272000 in words is "three billion, nine hundred sixty-eight million, two hundred seventy-two thousand".