3980448 has 96 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1244160.

The previous prime is 3980429. The next prime is 3980461. The reversal of 3980448 is 8440893.

3980448 = T₁₇ + T₁₈ + ... + T₂₈₇.

3980448 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 15 ways as a sum of consecutive naturals, for example, 14553 + ... + 14823.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 2^3980448 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 3980448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

3980448 is an abundant number, since it is smaller than the sum of its proper divisors (8357472).

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

3980448 is a wasteful number, since it uses less digits than its factorization.

3980448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3980448 is about 1995.1060122209. The cubic root of 3980448 is about 158.4810420923.

The spelling of 3980448 in words is "three million, nine hundred eighty thousand, four hundred forty-eight".