3884880 has 40 divisors (see below), whose sum is σ = 12043872. Its totient is φ = 1035904.

The previous prime is 3884843. The next prime is 3884893. The reversal of 3884880 is 884883.

3884880 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 (40).

It is a super-2 number, since 2×3884880² = 30184585228800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 7854 + ... + 8333.

Almost surely, 2^3884880 is an apocalyptic number.

3884880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3884880 is an abundant number, since it is smaller than the sum of its proper divisors (8158992).

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

3884880 is a wasteful number, since it uses less digits than its factorization.

3884880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16203 (or 16197 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 3884880 is about 1971.0098934303. The cubic root of 3884880 is about 157.2024111149.

Subtracting from 3884880 its sum of digits (39), we obtain a square (3884841 = 1971²).

The spelling of 3884880 in words is "three million, eight hundred eighty-four thousand, eight hundred eighty".