3935728000 has 64 divisors (see below), whose sum is σ = 9785243520. Its totient is φ = 1574284800.

The previous prime is 3935727997. The next prime is 3935728033. The reversal of 3935728000 is 8275393.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106992 + ... + 138991.

It is an arithmetic number, because the mean of its divisors is an integer number (152894430).

Almost surely, 2^3935728000 is an apocalyptic number.

It is an amenable number.

3935728000 is an abundant number, since it is smaller than the sum of its proper divisors (5849515520).

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

3935728000 is an equidigital number, since it uses as much as digits as its factorization.

3935728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246012 (or 245990 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 3935728000 is about 62735.3807671556. The cubic root of 3935728000 is about 1578.8529836758.

The spelling of 3935728000 in words is "three billion, nine hundred thirty-five million, seven hundred twenty-eight thousand".