3828880 has 80 divisors (see below), whose sum is σ = 10267200. Its totient is φ = 1313280.

The previous prime is 3828857. The next prime is 3828887. The reversal of 3828880 is 888283.

3828880 = T₅₆ + T₅₇ + ... + T₂₈₄.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (3828887) 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, 16606 + ... + 16834.

It is an arithmetic number, because the mean of its divisors is an integer number (128340).

Almost surely, 2^3828880 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 3828880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5133600).

3828880 is an abundant number, since it is smaller than the sum of its proper divisors (6438320).

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

3828880 is a wasteful number, since it uses less digits than its factorization.

3828880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 3828880 is about 1956.7524115227. The cubic root of 3828880 is about 156.4434021132.

The spelling of 3828880 in words is "three million, eight hundred twenty-eight thousand, eight hundred eighty".