3880880 has 40 divisors (see below), whose sum is σ = 9114000. Its totient is φ = 1536768.

The previous prime is 3880871. The next prime is 3880889. The reversal of 3880880 is 880883.

It is an interprime number because it is at equal distance from previous prime (3880871) and next prime (3880889).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×3880880² = 30122459148800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3880880.

It is not an unprimeable number, because it can be changed into a prime (3880889) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 10946 + ... + 11294.

It is an arithmetic number, because the mean of its divisors is an integer number (227850).

Almost surely, 2^3880880 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 3880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557000).

3880880 is an abundant number, since it is smaller than the sum of its proper divisors (5233120).

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

3880880 is a wasteful number, since it uses less digits than its factorization.

3880880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 3880880 is about 1969.9949238513. The cubic root of 3880880 is about 157.1484389989.

The spelling of 3880880 in words is "three million, eight hundred eighty thousand, eight hundred eighty".