3866280 has 128 divisors (see below), whose sum is σ = 13219200. Its totient is φ = 896000.

The previous prime is 3866263. The next prime is 3866281. The reversal of 3866280 is 826683.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3866281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38230 + ... + 38330.

It is an arithmetic number, because the mean of its divisors is an integer number (103275).

Almost surely, 2^3866280 is an apocalyptic number.

3866280 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 3866280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6609600).

3866280 is an abundant number, since it is smaller than the sum of its proper divisors (9352920).

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

3866280 is a wasteful number, since it uses less digits than its factorization.

3866280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 3866280 is about 1966.2858388342. The cubic root of 3866280 is about 156.9511254686.

It can be divided in two parts, 386 and 6280, that added together give a palindrome (6666).

The spelling of 3866280 in words is "three million, eight hundred sixty-six thousand, two hundred eighty".