3935728104 has 128 divisors (see below), whose sum is σ = 12475468800. Its totient is φ = 1004912640.

The previous prime is 3935728087. The next prime is 3935728133. The reversal of 3935728104 is 4018275393.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90984 + ... + 127080.

It is an arithmetic number, because the mean of its divisors is an integer number (97464600).

Almost surely, 2^3935728104 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 3935728104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237734400).

3935728104 is an abundant number, since it is smaller than the sum of its proper divisors (8539740696).

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

3935728104 is a wasteful number, since it uses less digits than its factorization.

3935728104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36183 (or 36179 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 3935728104 is about 62735.3815960340. The cubic root of 3935728104 is about 1578.8529975827.

The spelling of 3935728104 in words is "three billion, nine hundred thirty-five million, seven hundred twenty-eight thousand, one hundred four".