3840480 has 192 divisors, whose sum is σ = 15482880. Its totient is φ = 870912.

The previous prime is 3840479. The next prime is 3840481. The reversal of 3840480 is 840483.

3840480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3840479) and next prime (3840481).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (3840481) 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 31 ways as a sum of consecutive naturals, for example, 30177 + ... + 30303.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

Almost surely, 2^3840480 is an apocalyptic number.

3840480 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 3840480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

3840480 is an abundant number, since it is smaller than the sum of its proper divisors (11642400).

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

3840480 is a wasteful number, since it uses less digits than its factorization.

3840480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 3840480 is about 1959.7142648866. The cubic root of 3840480 is about 156.6012301543.

The spelling of 3840480 in words is "three million, eight hundred forty thousand, four hundred eighty".