3960480 has 96 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 1022976.

The previous prime is 3960457. The next prime is 3960497. The reversal of 3960480 is 840693.

3960480 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 (30).

It is a d-powerful number, because it can be written as 3¹¹ + 9⁴ + 6⁸ + 0 + 4 + 8⁷ + 0 .

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, 17649 + ... + 17871.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

Almost surely, 2^3960480 is an apocalyptic number.

3960480 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 3960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

3960480 is an abundant number, since it is smaller than the sum of its proper divisors (8909664).

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

3960480 is a wasteful number, since it uses less digits than its factorization.

3960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3960480 is about 1990.0954750966. The cubic root of 3960480 is about 158.2155899019.

The spelling of 3960480 in words is "three million, nine hundred sixty thousand, four hundred eighty".