3800880 has 60 divisors (see below), whose sum is σ = 12767040. Its totient is φ = 1013376.

The previous prime is 3800861. The next prime is 3800887. The reversal of 3800880 is 880083.

It is a tau number, because it is divible by the number of its divisors (60).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (3800887) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1920 + ... + 3359.

It is an arithmetic number, because the mean of its divisors is an integer number (212784).

Almost surely, 2^3800880 is an apocalyptic number.

3800880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3800880 is an abundant number, since it is smaller than the sum of its proper divisors (8966160).

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

3800880 is a wasteful number, since it uses less digits than its factorization.

3800880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5298 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 3800880 is about 1949.5845711330. The cubic root of 3800880 is about 156.0611200346.

The spelling of 3800880 in words is "three million, eight hundred thousand, eight hundred eighty".