3920080320 has 448 divisors, whose sum is σ = 15776691840. Its totient is φ = 907739136.

The previous prime is 3920080319. The next prime is 3920080327. The reversal of 3920080320 is 230800293.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3920080327) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1908414 + ... + 1910466.

It is an arithmetic number, because the mean of its divisors is an integer number (35215830).

Almost surely, 2^3920080320 is an apocalyptic number.

3920080320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3920080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7888345920).

3920080320 is an abundant number, since it is smaller than the sum of its proper divisors (11856611520).

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

3920080320 is a wasteful number, since it uses less digits than its factorization.

3920080320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3920080320 is about 62610.5447987797. The cubic root of 3920080320 is about 1576.7578016225.

It can be divided in two parts, 3920080 and 320, that added together give a square (3920400 = 1980²).

The spelling of 3920080320 in words is "three billion, nine hundred twenty million, eighty thousand, three hundred twenty".