3896480 has 96 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 1317120.

The previous prime is 3896467. The next prime is 3896489. The reversal of 3896480 is 846983.

3896480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3896489) 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 15 ways as a sum of consecutive naturals, for example, 54845 + ... + 54915.

It is an arithmetic number, because the mean of its divisors is an integer number (113400).

Almost surely, 2^3896480 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 3896480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

3896480 is an abundant number, since it is smaller than the sum of its proper divisors (6989920).

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

3896480 is an equidigital number, since it uses as much as digits as its factorization.

3896480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 3896480 is about 1973.9503539856. The cubic root of 3896480 is about 157.3587210460.

The spelling of 3896480 in words is "three million, eight hundred ninety-six thousand, four hundred eighty".