3830880 has 96 divisors (see below), whose sum is σ = 12628224. Its totient is φ = 974336.

The previous prime is 3830867. The next prime is 3830881. The reversal of 3830880 is 880383.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3830881) 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, 10867 + ... + 11213.

It is an arithmetic number, because the mean of its divisors is an integer number (131544).

Almost surely, 2^3830880 is an apocalyptic number.

3830880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3830880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6314112).

3830880 is an abundant number, since it is smaller than the sum of its proper divisors (8797344).

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

3830880 is a wasteful number, since it uses less digits than its factorization.

3830880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3830880 is about 1957.2633956624. The cubic root of 3830880 is about 156.4706365649.

The spelling of 3830880 in words is "three million, eight hundred thirty thousand, eight hundred eighty".