3980928 has 64 divisors (see below), whose sum is σ = 12093120. Its totient is φ = 1136640.

The previous prime is 3980891. The next prime is 3980957. The reversal of 3980928 is 8290893.

3980928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1948 + ... + 3428.

It is an arithmetic number, because the mean of its divisors is an integer number (188955).

Almost surely, 2^3980928 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 3980928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6046560).

3980928 is an abundant number, since it is smaller than the sum of its proper divisors (8112192).

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

3980928 is a wasteful number, since it uses less digits than its factorization.

3980928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1493 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 3980928 is about 1995.2263029541. The cubic root of 3980928 is about 158.4874122164.

The spelling of 3980928 in words is "three million, nine hundred eighty thousand, nine hundred twenty-eight".