3928207360 has 416 divisors, whose sum is σ = 12229097472. Its totient is φ = 1175715840.

The previous prime is 3928207333. The next prime is 3928207363. The reversal of 3928207360 is 637028293.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3928207363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74117094 + ... + 74117146.

Almost surely, 2^3928207360 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 3928207360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114548736).

3928207360 is an abundant number, since it is smaller than the sum of its proper divisors (8300890112).

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

3928207360 is a wasteful number, since it uses less digits than its factorization.

3928207360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3928207360 is about 62675.4127230128. The cubic root of 3928207360 is about 1577.8466847876.

The spelling of 3928207360 in words is "three billion, nine hundred twenty-eight million, two hundred seven thousand, three hundred sixty".