3868480 has 112 divisors (see below), whose sum is σ = 11558016. Its totient is φ = 1198080.

The previous prime is 3868477. The next prime is 3868481. The reversal of 3868480 is 848683.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24562 + ... + 24718.

Almost surely, 2^3868480 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 3868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5779008).

3868480 is an abundant number, since it is smaller than the sum of its proper divisors (7689536).

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

3868480 is a wasteful number, since it uses less digits than its factorization.

3868480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 3868480 is about 1966.8451896375. The cubic root of 3868480 is about 156.9808893936.

The spelling of 3868480 in words is "three million, eight hundred sixty-eight thousand, four hundred eighty".