3972728000 has 112 divisors (see below), whose sum is σ = 9904256544. Its totient is φ = 1578470400.

The previous prime is 3972727991. The next prime is 3972728017. The reversal of 3972728000 is 8272793.

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 15 ways as a sum of consecutive naturals, for example, 1254419 + ... + 1257581.

It is an arithmetic number, because the mean of its divisors is an integer number (88430862).

Almost surely, 2^3972728000 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 3972728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952128272).

3972728000 is an abundant number, since it is smaller than the sum of its proper divisors (5931528544).

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

3972728000 is a wasteful number, since it uses less digits than its factorization.

3972728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3327 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 3972728000 is about 63029.5803571625. The cubic root of 3972728000 is about 1583.7851883648.

The spelling of 3972728000 in words is "three billion, nine hundred seventy-two million, seven hundred twenty-eight thousand".