3864480 has 96 divisors (see below), whose sum is σ = 12446784. Its totient is φ = 1007616.

The previous prime is 3864479. The next prime is 3864499. The reversal of 3864480 is 844683.

It is a tau number, because it is divible by the number of its divisors (96).

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39792 + ... + 39888.

It is an arithmetic number, because the mean of its divisors is an integer number (129654).

Almost surely, 2^3864480 is an apocalyptic number.

3864480 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 3864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6223392).

3864480 is an abundant number, since it is smaller than the sum of its proper divisors (8582304).

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

3864480 is a wasteful number, since it uses less digits than its factorization.

3864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3864480 is about 1965.8280697965. The cubic root of 3864480 is about 156.9267647671.

The spelling of 3864480 in words is "three million, eight hundred sixty-four thousand, four hundred eighty".